Finding the Third Proportional to 82,110 and 123,529.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,110 : 123,529.50 = 123,529.50 : x
2. Step 2: Convert to fraction form
   82,110/123,529.50 = 123,529.50/x
3. Step 3: Cross multiply
   82,110x = 123,529.50 × 123,529.50
4. Step 4: Simplify right side
   82,110x = 15,259,537,370.25
5. Step 5: Solve for x
   x = 15,259,537,370.25/82,110
6. Step 6: Final answer
   x = 185,842.62