Finding the Third Proportional to 82,455.50 and 113,770.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,455.50 : 113,770.50 = 113,770.50 : x
2. Step 2: Convert to fraction form
   82,455.50/113,770.50 = 113,770.50/x
3. Step 3: Cross multiply
   82,455.50x = 113,770.50 × 113,770.50
4. Step 4: Simplify right side
   82,455.50x = 12,943,726,670.25
5. Step 5: Solve for x
   x = 12,943,726,670.25/82,455.50
6. Step 6: Final answer
   x = 156,978.33