Finding the Third Proportional to 100,874 and 146,575.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,874 : 146,575.50 = 146,575.50 : x
2. Step 2: Convert to fraction form
   100,874/146,575.50 = 146,575.50/x
3. Step 3: Cross multiply
   100,874x = 146,575.50 × 146,575.50
4. Step 4: Simplify right side
   100,874x = 21,484,377,200.25
5. Step 5: Solve for x
   x = 21,484,377,200.25/100,874
6. Step 6: Final answer
   x = 212,982.31