Finding the Third Proportional to 69,676 and 152,641

Step by Step Solution

1. Step 1: Write the proportion equation
   69,676 : 152,641 = 152,641 : x
2. Step 2: Convert to fraction form
   69,676/152,641 = 152,641/x
3. Step 3: Cross multiply
   69,676x = 152,641 × 152,641
4. Step 4: Simplify right side
   69,676x = 23,299,274,881
5. Step 5: Solve for x
   x = 23,299,274,881/69,676
6. Step 6: Final answer
   x = 334,394.55