Finding the Third Proportional to 45,142 and 96,116.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,142 : 96,116.50 = 96,116.50 : x
2. Step 2: Convert to fraction form
   45,142/96,116.50 = 96,116.50/x
3. Step 3: Cross multiply
   45,142x = 96,116.50 × 96,116.50
4. Step 4: Simplify right side
   45,142x = 9,238,381,572.25
5. Step 5: Solve for x
   x = 9,238,381,572.25/45,142
6. Step 6: Final answer
   x = 204,651.58