Finding the Third Proportional to 69,802 and 152,640

Step by Step Solution

1. Step 1: Write the proportion equation
   69,802 : 152,640 = 152,640 : x
2. Step 2: Convert to fraction form
   69,802/152,640 = 152,640/x
3. Step 3: Cross multiply
   69,802x = 152,640 × 152,640
4. Step 4: Simplify right side
   69,802x = 23,298,969,600
5. Step 5: Solve for x
   x = 23,298,969,600/69,802
6. Step 6: Final answer
   x = 333,786.56