Finding the Third Proportional to 82,500 and 123,534

Step by Step Solution

1. Step 1: Write the proportion equation
   82,500 : 123,534 = 123,534 : x
2. Step 2: Convert to fraction form
   82,500/123,534 = 123,534/x
3. Step 3: Cross multiply
   82,500x = 123,534 × 123,534
4. Step 4: Simplify right side
   82,500x = 15,260,649,156
5. Step 5: Solve for x
   x = 15,260,649,156/82,500
6. Step 6: Final answer
   x = 184,977.57