Finding the Third Proportional to 83,000 and 124,581.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,000 : 124,581.50 = 124,581.50 : x
2. Step 2: Convert to fraction form
   83,000/124,581.50 = 124,581.50/x
3. Step 3: Cross multiply
   83,000x = 124,581.50 × 124,581.50
4. Step 4: Simplify right side
   83,000x = 15,520,550,142.25
5. Step 5: Solve for x
   x = 15,520,550,142.25/83,000
6. Step 6: Final answer
   x = 186,994.58