Finding the Third Proportional to 536,496,127,216 and 1,088,756,920,256

Step by Step Solution

1. Step 1: Write the proportion equation
   536,496,127,216 : 1,088,756,920,256 = 1,088,756,920,256 : x
2. Step 2: Convert to fraction form
   536,496,127,216/1,088,756,920,256 = 1,088,756,920,256/x
3. Step 3: Cross multiply
   536,496,127,216x = 1,088,756,920,256 × 1,088,756,920,256
4. Step 4: Simplify right side
   536,496,127,216x = 1,185,391,631,405,329,995,005,952
5. Step 5: Solve for x
   x = 1,185,391,631,405,329,995,005,952/536,496,127,216
6. Step 6: Final answer
   x = 2,209,506,408,846.97