Finding the Third Proportional to 71,420 and 146,116

Step by Step Solution

1. Step 1: Write the proportion equation
   71,420 : 146,116 = 146,116 : x
2. Step 2: Convert to fraction form
   71,420/146,116 = 146,116/x
3. Step 3: Cross multiply
   71,420x = 146,116 × 146,116
4. Step 4: Simplify right side
   71,420x = 21,349,885,456
5. Step 5: Solve for x
   x = 21,349,885,456/71,420
6. Step 6: Final answer
   x = 298,934.27