Finding the Third Proportional to 114,898.50 and 171,659.25

Step by Step Solution

1. Step 1: Write the proportion equation
   114,898.50 : 171,659.25 = 171,659.25 : x
2. Step 2: Convert to fraction form
   114,898.50/171,659.25 = 171,659.25/x
3. Step 3: Cross multiply
   114,898.50x = 171,659.25 × 171,659.25
4. Step 4: Simplify right side
   114,898.50x = 29,466,898,110.56
5. Step 5: Solve for x
   x = 29,466,898,110.56/114,898.50
6. Step 6: Final answer
   x = 256,460.25