Finding the Third Proportional to 71,640 and 146,864

Step by Step Solution

1. Step 1: Write the proportion equation
   71,640 : 146,864 = 146,864 : x
2. Step 2: Convert to fraction form
   71,640/146,864 = 146,864/x
3. Step 3: Cross multiply
   71,640x = 146,864 × 146,864
4. Step 4: Simplify right side
   71,640x = 21,569,034,496
5. Step 5: Solve for x
   x = 21,569,034,496/71,640
6. Step 6: Final answer
   x = 301,075.30