Finding the Third Proportional to 95,024 and 205,114

Step by Step Solution

1. Step 1: Write the proportion equation
   95,024 : 205,114 = 205,114 : x
2. Step 2: Convert to fraction form
   95,024/205,114 = 205,114/x
3. Step 3: Cross multiply
   95,024x = 205,114 × 205,114
4. Step 4: Simplify right side
   95,024x = 42,071,752,996
5. Step 5: Solve for x
   x = 42,071,752,996/95,024
6. Step 6: Final answer
   x = 442,748.71