Finding the Third Proportional to 71,817 and 152,274

Step by Step Solution

1. Step 1: Write the proportion equation
   71,817 : 152,274 = 152,274 : x
2. Step 2: Convert to fraction form
   71,817/152,274 = 152,274/x
3. Step 3: Cross multiply
   71,817x = 152,274 × 152,274
4. Step 4: Simplify right side
   71,817x = 23,187,371,076
5. Step 5: Solve for x
   x = 23,187,371,076/71,817
6. Step 6: Final answer
   x = 322,867.44