Finding the Third Proportional to 91,968 and 142,456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,968 : 142,456.50 = 142,456.50 : x
2. Step 2: Convert to fraction form
   91,968/142,456.50 = 142,456.50/x
3. Step 3: Cross multiply
   91,968x = 142,456.50 × 142,456.50
4. Step 4: Simplify right side
   91,968x = 20,293,854,392.25
5. Step 5: Solve for x
   x = 20,293,854,392.25/91,968
6. Step 6: Final answer
   x = 220,662.13