Finding the Third Proportional to 175,255.31 and 381,265.31

Step by Step Solution

1. Step 1: Write the proportion equation
   175,255.31 : 381,265.31 = 381,265.31 : x
2. Step 2: Convert to fraction form
   175,255.31/381,265.31 = 381,265.31/x
3. Step 3: Cross multiply
   175,255.31x = 381,265.31 × 381,265.31
4. Step 4: Simplify right side
   175,255.31x = 145,363,238,515.72
5. Step 5: Solve for x
   x = 145,363,238,515.72/175,255.31
6. Step 6: Final answer
   x = 829,436.99