Finding the Third Proportional to 112,826 and 174,131

Step by Step Solution

1. Step 1: Write the proportion equation
   112,826 : 174,131 = 174,131 : x
2. Step 2: Convert to fraction form
   112,826/174,131 = 174,131/x
3. Step 3: Cross multiply
   112,826x = 174,131 × 174,131
4. Step 4: Simplify right side
   112,826x = 30,321,605,161
5. Step 5: Solve for x
   x = 30,321,605,161/112,826
6. Step 6: Final answer
   x = 268,746.61