Finding the Third Proportional to 176,833.50 and 270,414

Step by Step Solution

1. Step 1: Write the proportion equation
   176,833.50 : 270,414 = 270,414 : x
2. Step 2: Convert to fraction form
   176,833.50/270,414 = 270,414/x
3. Step 3: Cross multiply
   176,833.50x = 270,414 × 270,414
4. Step 4: Simplify right side
   176,833.50x = 73,123,731,396
5. Step 5: Solve for x
   x = 73,123,731,396/176,833.50
6. Step 6: Final answer
   x = 413,517.41