Finding the Third Proportional to 82,512 and 123,950.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,512 : 123,950.25 = 123,950.25 : x
2. Step 2: Convert to fraction form
   82,512/123,950.25 = 123,950.25/x
3. Step 3: Cross multiply
   82,512x = 123,950.25 × 123,950.25
4. Step 4: Simplify right side
   82,512x = 15,363,664,475.06
5. Step 5: Solve for x
   x = 15,363,664,475.06/82,512
6. Step 6: Final answer
   x = 186,199.15