Finding the Third Proportional to 89,833.50 and 134,752.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,833.50 : 134,752.50 = 134,752.50 : x
2. Step 2: Convert to fraction form
   89,833.50/134,752.50 = 134,752.50/x
3. Step 3: Cross multiply
   89,833.50x = 134,752.50 × 134,752.50
4. Step 4: Simplify right side
   89,833.50x = 18,158,236,256.25
5. Step 5: Solve for x
   x = 18,158,236,256.25/89,833.50
6. Step 6: Final answer
   x = 202,132.13