Finding the Third Proportional to 113,431 and 174,113

Step by Step Solution

1. Step 1: Write the proportion equation
   113,431 : 174,113 = 174,113 : x
2. Step 2: Convert to fraction form
   113,431/174,113 = 174,113/x
3. Step 3: Cross multiply
   113,431x = 174,113 × 174,113
4. Step 4: Simplify right side
   113,431x = 30,315,336,769
5. Step 5: Solve for x
   x = 30,315,336,769/113,431
6. Step 6: Final answer
   x = 267,257.95