Finding the Third Proportional to 71,442 and 152,726

Step by Step Solution

1. Step 1: Write the proportion equation
   71,442 : 152,726 = 152,726 : x
2. Step 2: Convert to fraction form
   71,442/152,726 = 152,726/x
3. Step 3: Cross multiply
   71,442x = 152,726 × 152,726
4. Step 4: Simplify right side
   71,442x = 23,325,231,076
5. Step 5: Solve for x
   x = 23,325,231,076/71,442
6. Step 6: Final answer
   x = 326,491.85