Finding the Third Proportional to 82,210.50 and 123,326.75

Step by Step Solution

1. Step 1: Write the proportion equation
   82,210.50 : 123,326.75 = 123,326.75 : x
2. Step 2: Convert to fraction form
   82,210.50/123,326.75 = 123,326.75/x
3. Step 3: Cross multiply
   82,210.50x = 123,326.75 × 123,326.75
4. Step 4: Simplify right side
   82,210.50x = 15,209,487,265.56
5. Step 5: Solve for x
   x = 15,209,487,265.56/82,210.50
6. Step 6: Final answer
   x = 185,006.63