Finding the Third Proportional to 83,002 and 124,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,002 : 124,584.50 = 124,584.50 : x
2. Step 2: Convert to fraction form
   83,002/124,584.50 = 124,584.50/x
3. Step 3: Cross multiply
   83,002x = 124,584.50 × 124,584.50
4. Step 4: Simplify right side
   83,002x = 15,521,297,640.25
5. Step 5: Solve for x
   x = 15,521,297,640.25/83,002
6. Step 6: Final answer
   x = 186,999.08