Finding the Third Proportional to 67,188 and 146,472

Step by Step Solution

1. Step 1: Write the proportion equation
   67,188 : 146,472 = 146,472 : x
2. Step 2: Convert to fraction form
   67,188/146,472 = 146,472/x
3. Step 3: Cross multiply
   67,188x = 146,472 × 146,472
4. Step 4: Simplify right side
   67,188x = 21,454,046,784
5. Step 5: Solve for x
   x = 21,454,046,784/67,188
6. Step 6: Final answer
   x = 319,313.67