Finding the Third Proportional to 69,738 and 152,469

Step by Step Solution

1. Step 1: Write the proportion equation
   69,738 : 152,469 = 152,469 : x
2. Step 2: Convert to fraction form
   69,738/152,469 = 152,469/x
3. Step 3: Cross multiply
   69,738x = 152,469 × 152,469
4. Step 4: Simplify right side
   69,738x = 23,246,795,961
5. Step 5: Solve for x
   x = 23,246,795,961/69,738
6. Step 6: Final answer
   x = 333,344.75