Finding the Third Proportional to 89,823.50 and 149,711.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,823.50 : 149,711.50 = 149,711.50 : x
2. Step 2: Convert to fraction form
   89,823.50/149,711.50 = 149,711.50/x
3. Step 3: Cross multiply
   89,823.50x = 149,711.50 × 149,711.50
4. Step 4: Simplify right side
   89,823.50x = 22,413,533,232.25
5. Step 5: Solve for x
   x = 22,413,533,232.25/89,823.50
6. Step 6: Final answer
   x = 249,528.61