Finding the Third Proportional to 95,776 and 204,584

Step by Step Solution

1. Step 1: Write the proportion equation
   95,776 : 204,584 = 204,584 : x
2. Step 2: Convert to fraction form
   95,776/204,584 = 204,584/x
3. Step 3: Cross multiply
   95,776x = 204,584 × 204,584
4. Step 4: Simplify right side
   95,776x = 41,854,613,056
5. Step 5: Solve for x
   x = 41,854,613,056/95,776
6. Step 6: Final answer
   x = 437,005.23