Finding the Third Proportional to 78,848 and 113,350

Step by Step Solution

1. Step 1: Write the proportion equation
   78,848 : 113,350 = 113,350 : x
2. Step 2: Convert to fraction form
   78,848/113,350 = 113,350/x
3. Step 3: Cross multiply
   78,848x = 113,350 × 113,350
4. Step 4: Simplify right side
   78,848x = 12,848,222,500
5. Step 5: Solve for x
   x = 12,848,222,500/78,848
6. Step 6: Final answer
   x = 162,949.25