Finding the Third Proportional to 112,608 and 174,208

Step by Step Solution

1. Step 1: Write the proportion equation
   112,608 : 174,208 = 174,208 : x
2. Step 2: Convert to fraction form
   112,608/174,208 = 174,208/x
3. Step 3: Cross multiply
   112,608x = 174,208 × 174,208
4. Step 4: Simplify right side
   112,608x = 30,348,427,264
5. Step 5: Solve for x
   x = 30,348,427,264/112,608
6. Step 6: Final answer
   x = 269,505.07