Finding the Third Proportional to 100,564 and 146,680

Step by Step Solution

1. Step 1: Write the proportion equation
   100,564 : 146,680 = 146,680 : x
2. Step 2: Convert to fraction form
   100,564/146,680 = 146,680/x
3. Step 3: Cross multiply
   100,564x = 146,680 × 146,680
4. Step 4: Simplify right side
   100,564x = 21,515,022,400
5. Step 5: Solve for x
   x = 21,515,022,400/100,564
6. Step 6: Final answer
   x = 213,943.58