Finding the Third Proportional to 116,653.50 and 171,151.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,653.50 : 171,151.50 = 171,151.50 : x
2. Step 2: Convert to fraction form
   116,653.50/171,151.50 = 171,151.50/x
3. Step 3: Cross multiply
   116,653.50x = 171,151.50 × 171,151.50
4. Step 4: Simplify right side
   116,653.50x = 29,292,835,952.25
5. Step 5: Solve for x
   x = 29,292,835,952.25/116,653.50
6. Step 6: Final answer
   x = 251,109.79