Finding the Third Proportional to 69,640 and 151,824

Step by Step Solution

1. Step 1: Write the proportion equation
   69,640 : 151,824 = 151,824 : x
2. Step 2: Convert to fraction form
   69,640/151,824 = 151,824/x
3. Step 3: Cross multiply
   69,640x = 151,824 × 151,824
4. Step 4: Simplify right side
   69,640x = 23,050,526,976
5. Step 5: Solve for x
   x = 23,050,526,976/69,640
6. Step 6: Final answer
   x = 330,995.51