Finding the Third Proportional to 80,365 and 122,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,365 : 122,419.50 = 122,419.50 : x
2. Step 2: Convert to fraction form
   80,365/122,419.50 = 122,419.50/x
3. Step 3: Cross multiply
   80,365x = 122,419.50 × 122,419.50
4. Step 4: Simplify right side
   80,365x = 14,986,533,980.25
5. Step 5: Solve for x
   x = 14,986,533,980.25/80,365
6. Step 6: Final answer
   x = 186,480.86