Finding the Third Proportional to 406,090 and 597,362

Step by Step Solution

1. Step 1: Write the proportion equation
   406,090 : 597,362 = 597,362 : x
2. Step 2: Convert to fraction form
   406,090/597,362 = 597,362/x
3. Step 3: Cross multiply
   406,090x = 597,362 × 597,362
4. Step 4: Simplify right side
   406,090x = 356,841,359,044
5. Step 5: Solve for x
   x = 356,841,359,044/406,090
6. Step 6: Final answer
   x = 878,724.81