Finding the Third Proportional to 78,311 and 152,680

Step by Step Solution

1. Step 1: Write the proportion equation
   78,311 : 152,680 = 152,680 : x
2. Step 2: Convert to fraction form
   78,311/152,680 = 152,680/x
3. Step 3: Cross multiply
   78,311x = 152,680 × 152,680
4. Step 4: Simplify right side
   78,311x = 23,311,182,400
5. Step 5: Solve for x
   x = 23,311,182,400/78,311
6. Step 6: Final answer
   x = 297,674.43