Finding the Third Proportional to 83,005 and 124,590

Step by Step Solution

1. Step 1: Write the proportion equation
   83,005 : 124,590 = 124,590 : x
2. Step 2: Convert to fraction form
   83,005/124,590 = 124,590/x
3. Step 3: Cross multiply
   83,005x = 124,590 × 124,590
4. Step 4: Simplify right side
   83,005x = 15,522,668,100
5. Step 5: Solve for x
   x = 15,522,668,100/83,005
6. Step 6: Final answer
   x = 187,008.83