Finding the Third Proportional to 101,088.50 and 149,661.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,088.50 : 149,661.50 = 149,661.50 : x
2. Step 2: Convert to fraction form
   101,088.50/149,661.50 = 149,661.50/x
3. Step 3: Cross multiply
   101,088.50x = 149,661.50 × 149,661.50
4. Step 4: Simplify right side
   101,088.50x = 22,398,564,582.25
5. Step 5: Solve for x
   x = 22,398,564,582.25/101,088.50
6. Step 6: Final answer
   x = 221,573.81