Finding the Third Proportional to 101,664 and 151,024.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,664 : 151,024.50 = 151,024.50 : x
2. Step 2: Convert to fraction form
   101,664/151,024.50 = 151,024.50/x
3. Step 3: Cross multiply
   101,664x = 151,024.50 × 151,024.50
4. Step 4: Simplify right side
   101,664x = 22,808,399,600.25
5. Step 5: Solve for x
   x = 22,808,399,600.25/101,664
6. Step 6: Final answer
   x = 224,350.80