Finding the Third Proportional to 101,592 and 149,441.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,592 : 149,441.50 = 149,441.50 : x
2. Step 2: Convert to fraction form
   101,592/149,441.50 = 149,441.50/x
3. Step 3: Cross multiply
   101,592x = 149,441.50 × 149,441.50
4. Step 4: Simplify right side
   101,592x = 22,332,761,922.25
5. Step 5: Solve for x
   x = 22,332,761,922.25/101,592
6. Step 6: Final answer
   x = 219,827.96