Finding the Third Proportional to 115,434.50 and 177,314.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,434.50 : 177,314.50 = 177,314.50 : x
2. Step 2: Convert to fraction form
   115,434.50/177,314.50 = 177,314.50/x
3. Step 3: Cross multiply
   115,434.50x = 177,314.50 × 177,314.50
4. Step 4: Simplify right side
   115,434.50x = 31,440,431,910.25
5. Step 5: Solve for x
   x = 31,440,431,910.25/115,434.50
6. Step 6: Final answer
   x = 272,365.99