Finding the Third Proportional to 78,218 and 170,404

Step by Step Solution

1. Step 1: Write the proportion equation
   78,218 : 170,404 = 170,404 : x
2. Step 2: Convert to fraction form
   78,218/170,404 = 170,404/x
3. Step 3: Cross multiply
   78,218x = 170,404 × 170,404
4. Step 4: Simplify right side
   78,218x = 29,037,523,216
5. Step 5: Solve for x
   x = 29,037,523,216/78,218
6. Step 6: Final answer
   x = 371,238.38