Finding the Third Proportional to 99,794 and 215,140

Step by Step Solution

1. Step 1: Write the proportion equation
   99,794 : 215,140 = 215,140 : x
2. Step 2: Convert to fraction form
   99,794/215,140 = 215,140/x
3. Step 3: Cross multiply
   99,794x = 215,140 × 215,140
4. Step 4: Simplify right side
   99,794x = 46,285,219,600
5. Step 5: Solve for x
   x = 46,285,219,600/99,794
6. Step 6: Final answer
   x = 463,807.64