Finding the Third Proportional to 72,742 and 112,326

Step by Step Solution

1. Step 1: Write the proportion equation
   72,742 : 112,326 = 112,326 : x
2. Step 2: Convert to fraction form
   72,742/112,326 = 112,326/x
3. Step 3: Cross multiply
   72,742x = 112,326 × 112,326
4. Step 4: Simplify right side
   72,742x = 12,617,130,276
5. Step 5: Solve for x
   x = 12,617,130,276/72,742
6. Step 6: Final answer
   x = 173,450.42