Finding the Third Proportional to 95,769 and 208,123

Step by Step Solution

1. Step 1: Write the proportion equation
   95,769 : 208,123 = 208,123 : x
2. Step 2: Convert to fraction form
   95,769/208,123 = 208,123/x
3. Step 3: Cross multiply
   95,769x = 208,123 × 208,123
4. Step 4: Simplify right side
   95,769x = 43,315,183,129
5. Step 5: Solve for x
   x = 43,315,183,129/95,769
6. Step 6: Final answer
   x = 452,288.14