Finding the Third Proportional to 69,686 and 152,716

Step by Step Solution

1. Step 1: Write the proportion equation
   69,686 : 152,716 = 152,716 : x
2. Step 2: Convert to fraction form
   69,686/152,716 = 152,716/x
3. Step 3: Cross multiply
   69,686x = 152,716 × 152,716
4. Step 4: Simplify right side
   69,686x = 23,322,176,656
5. Step 5: Solve for x
   x = 23,322,176,656/69,686
6. Step 6: Final answer
   x = 334,675.21