Finding the Third Proportional to 96,607.50 and 142,114.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,607.50 : 142,114.50 = 142,114.50 : x
2. Step 2: Convert to fraction form
   96,607.50/142,114.50 = 142,114.50/x
3. Step 3: Cross multiply
   96,607.50x = 142,114.50 × 142,114.50
4. Step 4: Simplify right side
   96,607.50x = 20,196,531,110.25
5. Step 5: Solve for x
   x = 20,196,531,110.25/96,607.50
6. Step 6: Final answer
   x = 209,057.59