Finding the Third Proportional to 99,900 and 212,512.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,900 : 212,512.50 = 212,512.50 : x
2. Step 2: Convert to fraction form
   99,900/212,512.50 = 212,512.50/x
3. Step 3: Cross multiply
   99,900x = 212,512.50 × 212,512.50
4. Step 4: Simplify right side
   99,900x = 45,161,562,656.25
5. Step 5: Solve for x
   x = 45,161,562,656.25/99,900
6. Step 6: Final answer
   x = 452,067.69