Finding the Third Proportional to 114,420 and 175,034

Step by Step Solution

1. Step 1: Write the proportion equation
   114,420 : 175,034 = 175,034 : x
2. Step 2: Convert to fraction form
   114,420/175,034 = 175,034/x
3. Step 3: Cross multiply
   114,420x = 175,034 × 175,034
4. Step 4: Simplify right side
   114,420x = 30,636,901,156
5. Step 5: Solve for x
   x = 30,636,901,156/114,420
6. Step 6: Final answer
   x = 267,758.27