Finding the Third Proportional to 69,801 and 152,639

Step by Step Solution

1. Step 1: Write the proportion equation
   69,801 : 152,639 = 152,639 : x
2. Step 2: Convert to fraction form
   69,801/152,639 = 152,639/x
3. Step 3: Cross multiply
   69,801x = 152,639 × 152,639
4. Step 4: Simplify right side
   69,801x = 23,298,664,321
5. Step 5: Solve for x
   x = 23,298,664,321/69,801
6. Step 6: Final answer
   x = 333,786.97