Finding the Third Proportional to 82,653.54 and 123,659.95

Step by Step Solution

1. Step 1: Write the proportion equation
   82,653.54 : 123,659.95 = 123,659.95 : x
2. Step 2: Convert to fraction form
   82,653.54/123,659.95 = 123,659.95/x
3. Step 3: Cross multiply
   82,653.54x = 123,659.95 × 123,659.95
4. Step 4: Simplify right side
   82,653.54x = 15,291,782,557.74
5. Step 5: Solve for x
   x = 15,291,782,557.74/82,653.54
6. Step 6: Final answer
   x = 185,010.62