Finding the Third Proportional to 101,739 and 149,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,739 : 149,563.50 = 149,563.50 : x
2. Step 2: Convert to fraction form
   101,739/149,563.50 = 149,563.50/x
3. Step 3: Cross multiply
   101,739x = 149,563.50 × 149,563.50
4. Step 4: Simplify right side
   101,739x = 22,369,240,532.25
5. Step 5: Solve for x
   x = 22,369,240,532.25/101,739
6. Step 6: Final answer
   x = 219,868.89