Finding the Third Proportional to 100,948.50 and 146,724

Step by Step Solution

1. Step 1: Write the proportion equation
   100,948.50 : 146,724 = 146,724 : x
2. Step 2: Convert to fraction form
   100,948.50/146,724 = 146,724/x
3. Step 3: Cross multiply
   100,948.50x = 146,724 × 146,724
4. Step 4: Simplify right side
   100,948.50x = 21,527,932,176
5. Step 5: Solve for x
   x = 21,527,932,176/100,948.50
6. Step 6: Final answer
   x = 213,256.58