Finding the Third Proportional to 104,494 and 152,367

Step by Step Solution

1. Step 1: Write the proportion equation
   104,494 : 152,367 = 152,367 : x
2. Step 2: Convert to fraction form
   104,494/152,367 = 152,367/x
3. Step 3: Cross multiply
   104,494x = 152,367 × 152,367
4. Step 4: Simplify right side
   104,494x = 23,215,702,689
5. Step 5: Solve for x
   x = 23,215,702,689/104,494
6. Step 6: Final answer
   x = 222,172.59