Finding the Third Proportional to 115,546.50 and 174,139.88

Step by Step Solution

1. Step 1: Write the proportion equation
   115,546.50 : 174,139.88 = 174,139.88 : x
2. Step 2: Convert to fraction form
   115,546.50/174,139.88 = 174,139.88/x
3. Step 3: Cross multiply
   115,546.50x = 174,139.88 × 174,139.88
4. Step 4: Simplify right side
   115,546.50x = 30,324,696,065.02
5. Step 5: Solve for x
   x = 30,324,696,065.02/115,546.50
6. Step 6: Final answer
   x = 262,445.82