Finding the Third Proportional to 115,187 and 171,891.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,187 : 171,891.50 = 171,891.50 : x
2. Step 2: Convert to fraction form
   115,187/171,891.50 = 171,891.50/x
3. Step 3: Cross multiply
   115,187x = 171,891.50 × 171,891.50
4. Step 4: Simplify right side
   115,187x = 29,546,687,772.25
5. Step 5: Solve for x
   x = 29,546,687,772.25/115,187
6. Step 6: Final answer
   x = 256,510.61