Finding the Third Proportional to 71,231 and 152,344

Step by Step Solution

1. Step 1: Write the proportion equation
   71,231 : 152,344 = 152,344 : x
2. Step 2: Convert to fraction form
   71,231/152,344 = 152,344/x
3. Step 3: Cross multiply
   71,231x = 152,344 × 152,344
4. Step 4: Simplify right side
   71,231x = 23,208,694,336
5. Step 5: Solve for x
   x = 23,208,694,336/71,231
6. Step 6: Final answer
   x = 325,822.95