Finding the Third Proportional to 113,427 and 174,106

Step by Step Solution

1. Step 1: Write the proportion equation
   113,427 : 174,106 = 174,106 : x
2. Step 2: Convert to fraction form
   113,427/174,106 = 174,106/x
3. Step 3: Cross multiply
   113,427x = 174,106 × 174,106
4. Step 4: Simplify right side
   113,427x = 30,312,899,236
5. Step 5: Solve for x
   x = 30,312,899,236/113,427
6. Step 6: Final answer
   x = 267,245.89