Finding the Third Proportional to 99,900 and 214,488

Step by Step Solution

1. Step 1: Write the proportion equation
   99,900 : 214,488 = 214,488 : x
2. Step 2: Convert to fraction form
   99,900/214,488 = 214,488/x
3. Step 3: Cross multiply
   99,900x = 214,488 × 214,488
4. Step 4: Simplify right side
   99,900x = 46,005,102,144
5. Step 5: Solve for x
   x = 46,005,102,144/99,900
6. Step 6: Final answer
   x = 460,511.53