Finding the Third Proportional to 76,962 and 122,945.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,962 : 122,945.50 = 122,945.50 : x
2. Step 2: Convert to fraction form
   76,962/122,945.50 = 122,945.50/x
3. Step 3: Cross multiply
   76,962x = 122,945.50 × 122,945.50
4. Step 4: Simplify right side
   76,962x = 15,115,595,970.25
5. Step 5: Solve for x
   x = 15,115,595,970.25/76,962
6. Step 6: Final answer
   x = 196,403.37