Finding the Third Proportional to 71,438 and 152,718

Step by Step Solution

1. Step 1: Write the proportion equation
   71,438 : 152,718 = 152,718 : x
2. Step 2: Convert to fraction form
   71,438/152,718 = 152,718/x
3. Step 3: Cross multiply
   71,438x = 152,718 × 152,718
4. Step 4: Simplify right side
   71,438x = 23,322,787,524
5. Step 5: Solve for x
   x = 23,322,787,524/71,438
6. Step 6: Final answer
   x = 326,475.93