Finding the Third Proportional to 117,687 and 174,244.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,687 : 174,244.50 = 174,244.50 : x
2. Step 2: Convert to fraction form
   117,687/174,244.50 = 174,244.50/x
3. Step 3: Cross multiply
   117,687x = 174,244.50 × 174,244.50
4. Step 4: Simplify right side
   117,687x = 30,361,145,780.25
5. Step 5: Solve for x
   x = 30,361,145,780.25/117,687
6. Step 6: Final answer
   x = 257,982.15