Finding the Third Proportional to 83,011.50 and 124,578

Step by Step Solution

1. Step 1: Write the proportion equation
   83,011.50 : 124,578 = 124,578 : x
2. Step 2: Convert to fraction form
   83,011.50/124,578 = 124,578/x
3. Step 3: Cross multiply
   83,011.50x = 124,578 × 124,578
4. Step 4: Simplify right side
   83,011.50x = 15,519,678,084
5. Step 5: Solve for x
   x = 15,519,678,084/83,011.50
6. Step 6: Final answer
   x = 186,958.17