Finding the Third Proportional to 67,738 and 148,382

Step by Step Solution

1. Step 1: Write the proportion equation
   67,738 : 148,382 = 148,382 : x
2. Step 2: Convert to fraction form
   67,738/148,382 = 148,382/x
3. Step 3: Cross multiply
   67,738x = 148,382 × 148,382
4. Step 4: Simplify right side
   67,738x = 22,017,217,924
5. Step 5: Solve for x
   x = 22,017,217,924/67,738
6. Step 6: Final answer
   x = 325,034.96