Finding the Third Proportional to 112,648 and 175,434

Step by Step Solution

1. Step 1: Write the proportion equation
   112,648 : 175,434 = 175,434 : x
2. Step 2: Convert to fraction form
   112,648/175,434 = 175,434/x
3. Step 3: Cross multiply
   112,648x = 175,434 × 175,434
4. Step 4: Simplify right side
   112,648x = 30,777,088,356
5. Step 5: Solve for x
   x = 30,777,088,356/112,648
6. Step 6: Final answer
   x = 273,214.69