Finding the Third Proportional to 99,598 and 215,042

Step by Step Solution

1. Step 1: Write the proportion equation
   99,598 : 215,042 = 215,042 : x
2. Step 2: Convert to fraction form
   99,598/215,042 = 215,042/x
3. Step 3: Cross multiply
   99,598x = 215,042 × 215,042
4. Step 4: Simplify right side
   99,598x = 46,243,061,764
5. Step 5: Solve for x
   x = 46,243,061,764/99,598
6. Step 6: Final answer
   x = 464,297.09