Finding the Third Proportional to 69,686 and 152,722

Step by Step Solution

1. Step 1: Write the proportion equation
   69,686 : 152,722 = 152,722 : x
2. Step 2: Convert to fraction form
   69,686/152,722 = 152,722/x
3. Step 3: Cross multiply
   69,686x = 152,722 × 152,722
4. Step 4: Simplify right side
   69,686x = 23,324,009,284
5. Step 5: Solve for x
   x = 23,324,009,284/69,686
6. Step 6: Final answer
   x = 334,701.51