Finding the Third Proportional to 94,284 and 205,164

Step by Step Solution

1. Step 1: Write the proportion equation
   94,284 : 205,164 = 205,164 : x
2. Step 2: Convert to fraction form
   94,284/205,164 = 205,164/x
3. Step 3: Cross multiply
   94,284x = 205,164 × 205,164
4. Step 4: Simplify right side
   94,284x = 42,092,266,896
5. Step 5: Solve for x
   x = 42,092,266,896/94,284
6. Step 6: Final answer
   x = 446,441.25