Finding the Third Proportional to 99,126 and 205,116

Step by Step Solution

1. Step 1: Write the proportion equation
   99,126 : 205,116 = 205,116 : x
2. Step 2: Convert to fraction form
   99,126/205,116 = 205,116/x
3. Step 3: Cross multiply
   99,126x = 205,116 × 205,116
4. Step 4: Simplify right side
   99,126x = 42,072,573,456
5. Step 5: Solve for x
   x = 42,072,573,456/99,126
6. Step 6: Final answer
   x = 424,435.30