Finding the Third Proportional to 78,408 and 152,856

Step by Step Solution

1. Step 1: Write the proportion equation
   78,408 : 152,856 = 152,856 : x
2. Step 2: Convert to fraction form
   78,408/152,856 = 152,856/x
3. Step 3: Cross multiply
   78,408x = 152,856 × 152,856
4. Step 4: Simplify right side
   78,408x = 23,364,956,736
5. Step 5: Solve for x
   x = 23,364,956,736/78,408
6. Step 6: Final answer
   x = 297,992