Finding the Third Proportional to 384,088.50 and 581,445

Step by Step Solution

1. Step 1: Write the proportion equation
   384,088.50 : 581,445 = 581,445 : x
2. Step 2: Convert to fraction form
   384,088.50/581,445 = 581,445/x
3. Step 3: Cross multiply
   384,088.50x = 581,445 × 581,445
4. Step 4: Simplify right side
   384,088.50x = 338,078,288,025
5. Step 5: Solve for x
   x = 338,078,288,025/384,088.50
6. Step 6: Final answer
   x = 880,209.35