Finding the Third Proportional to 69,008 and 146,640

Step by Step Solution

1. Step 1: Write the proportion equation
   69,008 : 146,640 = 146,640 : x
2. Step 2: Convert to fraction form
   69,008/146,640 = 146,640/x
3. Step 3: Cross multiply
   69,008x = 146,640 × 146,640
4. Step 4: Simplify right side
   69,008x = 21,503,289,600
5. Step 5: Solve for x
   x = 21,503,289,600/69,008
6. Step 6: Final answer
   x = 311,605.75