Finding the Third Proportional to 83,227.50 and 132,374.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,227.50 : 132,374.25 = 132,374.25 : x
2. Step 2: Convert to fraction form
   83,227.50/132,374.25 = 132,374.25/x
3. Step 3: Cross multiply
   83,227.50x = 132,374.25 × 132,374.25
4. Step 4: Simplify right side
   83,227.50x = 17,522,942,063.06
5. Step 5: Solve for x
   x = 17,522,942,063.06/83,227.50
6. Step 6: Final answer
   x = 210,542.69