Finding the Third Proportional to 101,101.50 and 148,369.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,101.50 : 148,369.50 = 148,369.50 : x
2. Step 2: Convert to fraction form
   101,101.50/148,369.50 = 148,369.50/x
3. Step 3: Cross multiply
   101,101.50x = 148,369.50 × 148,369.50
4. Step 4: Simplify right side
   101,101.50x = 22,013,508,530.25
5. Step 5: Solve for x
   x = 22,013,508,530.25/101,101.50
6. Step 6: Final answer
   x = 217,736.72