Finding the Third Proportional to 83,767.50 and 125,833.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,767.50 : 125,833.50 = 125,833.50 : x
2. Step 2: Convert to fraction form
   83,767.50/125,833.50 = 125,833.50/x
3. Step 3: Cross multiply
   83,767.50x = 125,833.50 × 125,833.50
4. Step 4: Simplify right side
   83,767.50x = 15,834,069,722.25
5. Step 5: Solve for x
   x = 15,834,069,722.25/83,767.50
6. Step 6: Final answer
   x = 189,024.02