Finding the Third Proportional to 82,503.75 and 123,937.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,503.75 : 123,937.50 = 123,937.50 : x
2. Step 2: Convert to fraction form
   82,503.75/123,937.50 = 123,937.50/x
3. Step 3: Cross multiply
   82,503.75x = 123,937.50 × 123,937.50
4. Step 4: Simplify right side
   82,503.75x = 15,360,503,906.25
5. Step 5: Solve for x
   x = 15,360,503,906.25/82,503.75
6. Step 6: Final answer
   x = 186,179.46