Finding the Third Proportional to 101,221.50 and 148,549.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,221.50 : 148,549.50 = 148,549.50 : x
2. Step 2: Convert to fraction form
   101,221.50/148,549.50 = 148,549.50/x
3. Step 3: Cross multiply
   101,221.50x = 148,549.50 × 148,549.50
4. Step 4: Simplify right side
   101,221.50x = 22,066,953,950.25
5. Step 5: Solve for x
   x = 22,066,953,950.25/101,221.50
6. Step 6: Final answer
   x = 218,006.59