Finding the Third Proportional to 82,656 and 123,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,656 : 123,664.50 = 123,664.50 : x
2. Step 2: Convert to fraction form
   82,656/123,664.50 = 123,664.50/x
3. Step 3: Cross multiply
   82,656x = 123,664.50 × 123,664.50
4. Step 4: Simplify right side
   82,656x = 15,292,908,560.25
5. Step 5: Solve for x
   x = 15,292,908,560.25/82,656
6. Step 6: Final answer
   x = 185,018.74