Finding the Third Proportional to 69,578 and 152,152

Step by Step Solution

1. Step 1: Write the proportion equation
   69,578 : 152,152 = 152,152 : x
2. Step 2: Convert to fraction form
   69,578/152,152 = 152,152/x
3. Step 3: Cross multiply
   69,578x = 152,152 × 152,152
4. Step 4: Simplify right side
   69,578x = 23,150,231,104
5. Step 5: Solve for x
   x = 23,150,231,104/69,578
6. Step 6: Final answer
   x = 332,723.43