Finding the Third Proportional to 120,097,243.50 and 262,216,117.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,097,243.50 : 262,216,117.50 = 262,216,117.50 : x
2. Step 2: Convert to fraction form
   120,097,243.50/262,216,117.50 = 262,216,117.50/x
3. Step 3: Cross multiply
   120,097,243.50x = 262,216,117.50 × 262,216,117.50
4. Step 4: Simplify right side
   120,097,243.50x = 68,757,292,276,773,808
5. Step 5: Solve for x
   x = 68,757,292,276,773,808/120,097,243.50
6. Step 6: Final answer
   x = 572,513,492.17