Finding the Third Proportional to 69,570 and 152,268

Step by Step Solution

1. Step 1: Write the proportion equation
   69,570 : 152,268 = 152,268 : x
2. Step 2: Convert to fraction form
   69,570/152,268 = 152,268/x
3. Step 3: Cross multiply
   69,570x = 152,268 × 152,268
4. Step 4: Simplify right side
   69,570x = 23,185,543,824
5. Step 5: Solve for x
   x = 23,185,543,824/69,570
6. Step 6: Final answer
   x = 333,269.28