Finding the Third Proportional to 102,394 and 152,802

Step by Step Solution

1. Step 1: Write the proportion equation
   102,394 : 152,802 = 152,802 : x
2. Step 2: Convert to fraction form
   102,394/152,802 = 152,802/x
3. Step 3: Cross multiply
   102,394x = 152,802 × 152,802
4. Step 4: Simplify right side
   102,394x = 23,348,451,204
5. Step 5: Solve for x
   x = 23,348,451,204/102,394
6. Step 6: Final answer
   x = 228,025.58