Finding the Third Proportional to 69,456 and 152,160

Step by Step Solution

1. Step 1: Write the proportion equation
   69,456 : 152,160 = 152,160 : x
2. Step 2: Convert to fraction form
   69,456/152,160 = 152,160/x
3. Step 3: Cross multiply
   69,456x = 152,160 × 152,160
4. Step 4: Simplify right side
   69,456x = 23,152,665,600
5. Step 5: Solve for x
   x = 23,152,665,600/69,456
6. Step 6: Final answer
   x = 333,342.92