Finding the Third Proportional to 95,782 and 208,142

Step by Step Solution

1. Step 1: Write the proportion equation
   95,782 : 208,142 = 208,142 : x
2. Step 2: Convert to fraction form
   95,782/208,142 = 208,142/x
3. Step 3: Cross multiply
   95,782x = 208,142 × 208,142
4. Step 4: Simplify right side
   95,782x = 43,323,092,164
5. Step 5: Solve for x
   x = 43,323,092,164/95,782
6. Step 6: Final answer
   x = 452,309.33