Finding the Third Proportional to 78,309 and 152,676

Step by Step Solution

1. Step 1: Write the proportion equation
   78,309 : 152,676 = 152,676 : x
2. Step 2: Convert to fraction form
   78,309/152,676 = 152,676/x
3. Step 3: Cross multiply
   78,309x = 152,676 × 152,676
4. Step 4: Simplify right side
   78,309x = 23,309,960,976
5. Step 5: Solve for x
   x = 23,309,960,976/78,309
6. Step 6: Final answer
   x = 297,666.44