Finding the Third Proportional to 82,109 and 123,750

Step by Step Solution

1. Step 1: Write the proportion equation
   82,109 : 123,750 = 123,750 : x
2. Step 2: Convert to fraction form
   82,109/123,750 = 123,750/x
3. Step 3: Cross multiply
   82,109x = 123,750 × 123,750
4. Step 4: Simplify right side
   82,109x = 15,314,062,500
5. Step 5: Solve for x
   x = 15,314,062,500/82,109
6. Step 6: Final answer
   x = 186,508.94