Finding the Third Proportional to 42,277.50 and 89,268

Step by Step Solution

1. Step 1: Write the proportion equation
   42,277.50 : 89,268 = 89,268 : x
2. Step 2: Convert to fraction form
   42,277.50/89,268 = 89,268/x
3. Step 3: Cross multiply
   42,277.50x = 89,268 × 89,268
4. Step 4: Simplify right side
   42,277.50x = 7,968,775,824
5. Step 5: Solve for x
   x = 7,968,775,824/42,277.50
6. Step 6: Final answer
   x = 188,487.39