Finding the Third Proportional to 65,908.50 and 102,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,908.50 : 102,142.50 = 102,142.50 : x
2. Step 2: Convert to fraction form
   65,908.50/102,142.50 = 102,142.50/x
3. Step 3: Cross multiply
   65,908.50x = 102,142.50 × 102,142.50
4. Step 4: Simplify right side
   65,908.50x = 10,433,090,306.25
5. Step 5: Solve for x
   x = 10,433,090,306.25/65,908.50
6. Step 6: Final answer
   x = 158,296.58