Finding the Third Proportional to 95,793 and 208,167

Step by Step Solution

1. Step 1: Write the proportion equation
   95,793 : 208,167 = 208,167 : x
2. Step 2: Convert to fraction form
   95,793/208,167 = 208,167/x
3. Step 3: Cross multiply
   95,793x = 208,167 × 208,167
4. Step 4: Simplify right side
   95,793x = 43,333,499,889
5. Step 5: Solve for x
   x = 43,333,499,889/95,793
6. Step 6: Final answer
   x = 452,366.04