Finding the Third Proportional to 69,486 and 146,628

Step by Step Solution

1. Step 1: Write the proportion equation
   69,486 : 146,628 = 146,628 : x
2. Step 2: Convert to fraction form
   69,486/146,628 = 146,628/x
3. Step 3: Cross multiply
   69,486x = 146,628 × 146,628
4. Step 4: Simplify right side
   69,486x = 21,499,770,384
5. Step 5: Solve for x
   x = 21,499,770,384/69,486
6. Step 6: Final answer
   x = 309,411.54