Finding the Third Proportional to 69,718 and 152,801

Step by Step Solution

1. Step 1: Write the proportion equation
   69,718 : 152,801 = 152,801 : x
2. Step 2: Convert to fraction form
   69,718/152,801 = 152,801/x
3. Step 3: Cross multiply
   69,718x = 152,801 × 152,801
4. Step 4: Simplify right side
   69,718x = 23,348,145,601
5. Step 5: Solve for x
   x = 23,348,145,601/69,718
6. Step 6: Final answer
   x = 334,894.08