Finding the Third Proportional to 314,656 and 471,892

Step by Step Solution

1. Step 1: Write the proportion equation
   314,656 : 471,892 = 471,892 : x
2. Step 2: Convert to fraction form
   314,656/471,892 = 471,892/x
3. Step 3: Cross multiply
   314,656x = 471,892 × 471,892
4. Step 4: Simplify right side
   314,656x = 222,682,059,664
5. Step 5: Solve for x
   x = 222,682,059,664/314,656
6. Step 6: Final answer
   x = 707,700.03