Finding the Third Proportional to 153,729 and 196,429.50

Step by Step Solution

1. Step 1: Write the proportion equation
   153,729 : 196,429.50 = 196,429.50 : x
2. Step 2: Convert to fraction form
   153,729/196,429.50 = 196,429.50/x
3. Step 3: Cross multiply
   153,729x = 196,429.50 × 196,429.50
4. Step 4: Simplify right side
   153,729x = 38,584,548,470.25
5. Step 5: Solve for x
   x = 38,584,548,470.25/153,729
6. Step 6: Final answer
   x = 250,990.69