Finding the Third Proportional to 89,142 and 195,778.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,142 : 195,778.50 = 195,778.50 : x
2. Step 2: Convert to fraction form
   89,142/195,778.50 = 195,778.50/x
3. Step 3: Cross multiply
   89,142x = 195,778.50 × 195,778.50
4. Step 4: Simplify right side
   89,142x = 38,329,221,062.25
5. Step 5: Solve for x
   x = 38,329,221,062.25/89,142
6. Step 6: Final answer
   x = 429,979.37