Finding the Third Proportional to 67,186 and 146,468

Step by Step Solution

1. Step 1: Write the proportion equation
   67,186 : 146,468 = 146,468 : x
2. Step 2: Convert to fraction form
   67,186/146,468 = 146,468/x
3. Step 3: Cross multiply
   67,186x = 146,468 × 146,468
4. Step 4: Simplify right side
   67,186x = 21,452,875,024
5. Step 5: Solve for x
   x = 21,452,875,024/67,186
6. Step 6: Final answer
   x = 319,305.73