Finding the Third Proportional to 78,464 and 185,204

Step by Step Solution

1. Step 1: Write the proportion equation
   78,464 : 185,204 = 185,204 : x
2. Step 2: Convert to fraction form
   78,464/185,204 = 185,204/x
3. Step 3: Cross multiply
   78,464x = 185,204 × 185,204
4. Step 4: Simplify right side
   78,464x = 34,300,521,616
5. Step 5: Solve for x
   x = 34,300,521,616/78,464
6. Step 6: Final answer
   x = 437,149.80