Finding the Third Proportional to 114,128.50 and 175,645

Step by Step Solution

1. Step 1: Write the proportion equation
   114,128.50 : 175,645 = 175,645 : x
2. Step 2: Convert to fraction form
   114,128.50/175,645 = 175,645/x
3. Step 3: Cross multiply
   114,128.50x = 175,645 × 175,645
4. Step 4: Simplify right side
   114,128.50x = 30,851,166,025
5. Step 5: Solve for x
   x = 30,851,166,025/114,128.50
6. Step 6: Final answer
   x = 270,319.56