Finding the Third Proportional to 69,778 and 152,596

Step by Step Solution

1. Step 1: Write the proportion equation
   69,778 : 152,596 = 152,596 : x
2. Step 2: Convert to fraction form
   69,778/152,596 = 152,596/x
3. Step 3: Cross multiply
   69,778x = 152,596 × 152,596
4. Step 4: Simplify right side
   69,778x = 23,285,539,216
5. Step 5: Solve for x
   x = 23,285,539,216/69,778
6. Step 6: Final answer
   x = 333,708.89