Finding the Third Proportional to 82,780.88 and 175,422.38

Step by Step Solution

1. Step 1: Write the proportion equation
   82,780.88 : 175,422.38 = 175,422.38 : x
2. Step 2: Convert to fraction form
   82,780.88/175,422.38 = 175,422.38/x
3. Step 3: Cross multiply
   82,780.88x = 175,422.38 × 175,422.38
4. Step 4: Simplify right side
   82,780.88x = 30,773,009,650.64
5. Step 5: Solve for x
   x = 30,773,009,650.64/82,780.88
6. Step 6: Final answer
   x = 371,740.57