Finding the Third Proportional to 100,023 and 218,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,023 : 218,019.50 = 218,019.50 : x
2. Step 2: Convert to fraction form
   100,023/218,019.50 = 218,019.50/x
3. Step 3: Cross multiply
   100,023x = 218,019.50 × 218,019.50
4. Step 4: Simplify right side
   100,023x = 47,532,502,380.25
5. Step 5: Solve for x
   x = 47,532,502,380.25/100,023
6. Step 6: Final answer
   x = 475,215.72