Finding the Third Proportional to 99,788 and 215,401

Step by Step Solution

1. Step 1: Write the proportion equation
   99,788 : 215,401 = 215,401 : x
2. Step 2: Convert to fraction form
   99,788/215,401 = 215,401/x
3. Step 3: Cross multiply
   99,788x = 215,401 × 215,401
4. Step 4: Simplify right side
   99,788x = 46,397,590,801
5. Step 5: Solve for x
   x = 46,397,590,801/99,788
6. Step 6: Final answer
   x = 464,961.63