Finding the Third Proportional to 100,367 and 146,781.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,367 : 146,781.50 = 146,781.50 : x
2. Step 2: Convert to fraction form
   100,367/146,781.50 = 146,781.50/x
3. Step 3: Cross multiply
   100,367x = 146,781.50 × 146,781.50
4. Step 4: Simplify right side
   100,367x = 21,544,808,742.25
5. Step 5: Solve for x
   x = 21,544,808,742.25/100,367
6. Step 6: Final answer
   x = 214,660.28