Finding the Third Proportional to 102,942 and 219,003.75

Step by Step Solution

1. Step 1: Write the proportion equation
   102,942 : 219,003.75 = 219,003.75 : x
2. Step 2: Convert to fraction form
   102,942/219,003.75 = 219,003.75/x
3. Step 3: Cross multiply
   102,942x = 219,003.75 × 219,003.75
4. Step 4: Simplify right side
   102,942x = 47,962,642,514.06
5. Step 5: Solve for x
   x = 47,962,642,514.06/102,942
6. Step 6: Final answer
   x = 465,919.09