Finding the Third Proportional to 113,434 and 174,117

Step by Step Solution

1. Step 1: Write the proportion equation
   113,434 : 174,117 = 174,117 : x
2. Step 2: Convert to fraction form
   113,434/174,117 = 174,117/x
3. Step 3: Cross multiply
   113,434x = 174,117 × 174,117
4. Step 4: Simplify right side
   113,434x = 30,316,729,689
5. Step 5: Solve for x
   x = 30,316,729,689/113,434
6. Step 6: Final answer
   x = 267,263.16