Finding the Third Proportional to 101,180 and 148,489.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,180 : 148,489.50 = 148,489.50 : x
2. Step 2: Convert to fraction form
   101,180/148,489.50 = 148,489.50/x
3. Step 3: Cross multiply
   101,180x = 148,489.50 × 148,489.50
4. Step 4: Simplify right side
   101,180x = 22,049,131,610.25
5. Step 5: Solve for x
   x = 22,049,131,610.25/101,180
6. Step 6: Final answer
   x = 217,919.86