Finding the Third Proportional to 314,744 and 499,146

Step by Step Solution

1. Step 1: Write the proportion equation
   314,744 : 499,146 = 499,146 : x
2. Step 2: Convert to fraction form
   314,744/499,146 = 499,146/x
3. Step 3: Cross multiply
   314,744x = 499,146 × 499,146
4. Step 4: Simplify right side
   314,744x = 249,146,729,316
5. Step 5: Solve for x
   x = 249,146,729,316/314,744
6. Step 6: Final answer
   x = 791,585.32