Finding the Third Proportional to 402,096.38 and 590,022

Step by Step Solution

1. Step 1: Write the proportion equation
   402,096.38 : 590,022 = 590,022 : x
2. Step 2: Convert to fraction form
   402,096.38/590,022 = 590,022/x
3. Step 3: Cross multiply
   402,096.38x = 590,022 × 590,022
4. Step 4: Simplify right side
   402,096.38x = 348,125,960,484
5. Step 5: Solve for x
   x = 348,125,960,484/402,096.38
6. Step 6: Final answer
   x = 865,777.42