Finding the Third Proportional to 69,016 and 146,780

Step by Step Solution

1. Step 1: Write the proportion equation
   69,016 : 146,780 = 146,780 : x
2. Step 2: Convert to fraction form
   69,016/146,780 = 146,780/x
3. Step 3: Cross multiply
   69,016x = 146,780 × 146,780
4. Step 4: Simplify right side
   69,016x = 21,544,368,400
5. Step 5: Solve for x
   x = 21,544,368,400/69,016
6. Step 6: Final answer
   x = 312,164.84