Finding the Third Proportional to 69,661 and 152,676

Step by Step Solution

1. Step 1: Write the proportion equation
   69,661 : 152,676 = 152,676 : x
2. Step 2: Convert to fraction form
   69,661/152,676 = 152,676/x
3. Step 3: Cross multiply
   69,661x = 152,676 × 152,676
4. Step 4: Simplify right side
   69,661x = 23,309,960,976
5. Step 5: Solve for x
   x = 23,309,960,976/69,661
6. Step 6: Final answer
   x = 334,619.96