Finding the Third Proportional to 69,336 and 152,064

Step by Step Solution

1. Step 1: Write the proportion equation
   69,336 : 152,064 = 152,064 : x
2. Step 2: Convert to fraction form
   69,336/152,064 = 152,064/x
3. Step 3: Cross multiply
   69,336x = 152,064 × 152,064
4. Step 4: Simplify right side
   69,336x = 23,123,460,096
5. Step 5: Solve for x
   x = 23,123,460,096/69,336
6. Step 6: Final answer
   x = 333,498.62