Finding the Third Proportional to 71,810 and 152,370

Step by Step Solution

1. Step 1: Write the proportion equation
   71,810 : 152,370 = 152,370 : x
2. Step 2: Convert to fraction form
   71,810/152,370 = 152,370/x
3. Step 3: Cross multiply
   71,810x = 152,370 × 152,370
4. Step 4: Simplify right side
   71,810x = 23,216,616,900
5. Step 5: Solve for x
   x = 23,216,616,900/71,810
6. Step 6: Final answer
   x = 323,306.18