Finding the Third Proportional to 72,352 and 111,278

Step by Step Solution

1. Step 1: Write the proportion equation
   72,352 : 111,278 = 111,278 : x
2. Step 2: Convert to fraction form
   72,352/111,278 = 111,278/x
3. Step 3: Cross multiply
   72,352x = 111,278 × 111,278
4. Step 4: Simplify right side
   72,352x = 12,382,793,284
5. Step 5: Solve for x
   x = 12,382,793,284/72,352
6. Step 6: Final answer
   x = 171,146.52