Finding the Third Proportional to 384,090 and 581,442

Step by Step Solution

1. Step 1: Write the proportion equation
   384,090 : 581,442 = 581,442 : x
2. Step 2: Convert to fraction form
   384,090/581,442 = 581,442/x
3. Step 3: Cross multiply
   384,090x = 581,442 × 581,442
4. Step 4: Simplify right side
   384,090x = 338,074,799,364
5. Step 5: Solve for x
   x = 338,074,799,364/384,090
6. Step 6: Final answer
   x = 880,196.83