Finding the Third Proportional to 71,672 and 152,846

Step by Step Solution

1. Step 1: Write the proportion equation
   71,672 : 152,846 = 152,846 : x
2. Step 2: Convert to fraction form
   71,672/152,846 = 152,846/x
3. Step 3: Cross multiply
   71,672x = 152,846 × 152,846
4. Step 4: Simplify right side
   71,672x = 23,361,899,716
5. Step 5: Solve for x
   x = 23,361,899,716/71,672
6. Step 6: Final answer
   x = 325,955.74