Finding the Third Proportional to 114,432 and 175,051

Step by Step Solution

1. Step 1: Write the proportion equation
   114,432 : 175,051 = 175,051 : x
2. Step 2: Convert to fraction form
   114,432/175,051 = 175,051/x
3. Step 3: Cross multiply
   114,432x = 175,051 × 175,051
4. Step 4: Simplify right side
   114,432x = 30,642,852,601
5. Step 5: Solve for x
   x = 30,642,852,601/114,432
6. Step 6: Final answer
   x = 267,782.20