Finding the Third Proportional to 158,142 and 251,290.50

Step by Step Solution

1. Step 1: Write the proportion equation
   158,142 : 251,290.50 = 251,290.50 : x
2. Step 2: Convert to fraction form
   158,142/251,290.50 = 251,290.50/x
3. Step 3: Cross multiply
   158,142x = 251,290.50 × 251,290.50
4. Step 4: Simplify right side
   158,142x = 63,146,915,390.25
5. Step 5: Solve for x
   x = 63,146,915,390.25/158,142
6. Step 6: Final answer
   x = 399,305.15