Finding the Third Proportional to 47,564 and 112,482

Step by Step Solution

1. Step 1: Write the proportion equation
   47,564 : 112,482 = 112,482 : x
2. Step 2: Convert to fraction form
   47,564/112,482 = 112,482/x
3. Step 3: Cross multiply
   47,564x = 112,482 × 112,482
4. Step 4: Simplify right side
   47,564x = 12,652,200,324
5. Step 5: Solve for x
   x = 12,652,200,324/47,564
6. Step 6: Final answer
   x = 266,003.71