Finding the Third Proportional to 314,561,196 and 471,841,834.50

Step by Step Solution

1. Step 1: Write the proportion equation
   314,561,196 : 471,841,834.50 = 471,841,834.50 : x
2. Step 2: Convert to fraction form
   314,561,196/471,841,834.50 = 471,841,834.50/x
3. Step 3: Cross multiply
   314,561,196x = 471,841,834.50 × 471,841,834.50
4. Step 4: Simplify right side
   314,561,196x = 222,634,716,784,325,376
5. Step 5: Solve for x
   x = 222,634,716,784,325,376/314,561,196
6. Step 6: Final answer
   x = 707,762,812.50