Finding the Third Proportional to 101,003.50 and 149,552.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,003.50 : 149,552.50 = 149,552.50 : x
2. Step 2: Convert to fraction form
   101,003.50/149,552.50 = 149,552.50/x
3. Step 3: Cross multiply
   101,003.50x = 149,552.50 × 149,552.50
4. Step 4: Simplify right side
   101,003.50x = 22,365,950,256.25
5. Step 5: Solve for x
   x = 22,365,950,256.25/101,003.50
6. Step 6: Final answer
   x = 221,437.38