Finding the Third Proportional to 81,414 and 176,411.25

Step by Step Solution

1. Step 1: Write the proportion equation
   81,414 : 176,411.25 = 176,411.25 : x
2. Step 2: Convert to fraction form
   81,414/176,411.25 = 176,411.25/x
3. Step 3: Cross multiply
   81,414x = 176,411.25 × 176,411.25
4. Step 4: Simplify right side
   81,414x = 31,120,929,126.56
5. Step 5: Solve for x
   x = 31,120,929,126.56/81,414
6. Step 6: Final answer
   x = 382,255.25