Finding the Third Proportional to 113,818.50 and 171,092.25

Step by Step Solution

1. Step 1: Write the proportion equation
   113,818.50 : 171,092.25 = 171,092.25 : x
2. Step 2: Convert to fraction form
   113,818.50/171,092.25 = 171,092.25/x
3. Step 3: Cross multiply
   113,818.50x = 171,092.25 × 171,092.25
4. Step 4: Simplify right side
   113,818.50x = 29,272,558,010.06
5. Step 5: Solve for x
   x = 29,272,558,010.06/113,818.50
6. Step 6: Final answer
   x = 257,186.29