Finding the Third Proportional to 99,156 and 206,516

Step by Step Solution

1. Step 1: Write the proportion equation
   99,156 : 206,516 = 206,516 : x
2. Step 2: Convert to fraction form
   99,156/206,516 = 206,516/x
3. Step 3: Cross multiply
   99,156x = 206,516 × 206,516
4. Step 4: Simplify right side
   99,156x = 42,648,858,256
5. Step 5: Solve for x
   x = 42,648,858,256/99,156
6. Step 6: Final answer
   x = 430,118.79