Finding the Third Proportional to 78,864 and 113,361.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,864 : 113,361.50 = 113,361.50 : x
2. Step 2: Convert to fraction form
   78,864/113,361.50 = 113,361.50/x
3. Step 3: Cross multiply
   78,864x = 113,361.50 × 113,361.50
4. Step 4: Simplify right side
   78,864x = 12,850,829,682.25
5. Step 5: Solve for x
   x = 12,850,829,682.25/78,864
6. Step 6: Final answer
   x = 162,949.25