Finding the Third Proportional to 152,064 and 352,404

Step by Step Solution

1. Step 1: Write the proportion equation
   152,064 : 352,404 = 352,404 : x
2. Step 2: Convert to fraction form
   152,064/352,404 = 352,404/x
3. Step 3: Cross multiply
   152,064x = 352,404 × 352,404
4. Step 4: Simplify right side
   152,064x = 124,188,579,216
5. Step 5: Solve for x
   x = 124,188,579,216/152,064
6. Step 6: Final answer
   x = 816,686.26