Finding the Third Proportional to 384,061.50 and 581,397.75

Step by Step Solution

1. Step 1: Write the proportion equation
   384,061.50 : 581,397.75 = 581,397.75 : x
2. Step 2: Convert to fraction form
   384,061.50/581,397.75 = 581,397.75/x
3. Step 3: Cross multiply
   384,061.50x = 581,397.75 × 581,397.75
4. Step 4: Simplify right side
   384,061.50x = 338,023,343,705.06
5. Step 5: Solve for x
   x = 338,023,343,705.06/384,061.50
6. Step 6: Final answer
   x = 880,128.17