Finding the Third Proportional to 112,680 and 174,396

Step by Step Solution

1. Step 1: Write the proportion equation
   112,680 : 174,396 = 174,396 : x
2. Step 2: Convert to fraction form
   112,680/174,396 = 174,396/x
3. Step 3: Cross multiply
   112,680x = 174,396 × 174,396
4. Step 4: Simplify right side
   112,680x = 30,413,964,816
5. Step 5: Solve for x
   x = 30,413,964,816/112,680
6. Step 6: Final answer
   x = 269,914.49