Finding the Third Proportional to 142,129 and 195,265.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,129 : 195,265.50 = 195,265.50 : x
2. Step 2: Convert to fraction form
   142,129/195,265.50 = 195,265.50/x
3. Step 3: Cross multiply
   142,129x = 195,265.50 × 195,265.50
4. Step 4: Simplify right side
   142,129x = 38,128,615,490.25
5. Step 5: Solve for x
   x = 38,128,615,490.25/142,129
6. Step 6: Final answer
   x = 268,267.67