Finding the Third Proportional to 80,623.50 and 188,268.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,623.50 : 188,268.50 = 188,268.50 : x
2. Step 2: Convert to fraction form
   80,623.50/188,268.50 = 188,268.50/x
3. Step 3: Cross multiply
   80,623.50x = 188,268.50 × 188,268.50
4. Step 4: Simplify right side
   80,623.50x = 35,445,028,092.25
5. Step 5: Solve for x
   x = 35,445,028,092.25/80,623.50
6. Step 6: Final answer
   x = 439,636.43