Finding the Third Proportional to 42,966 and 94,243.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,966 : 94,243.50 = 94,243.50 : x
2. Step 2: Convert to fraction form
   42,966/94,243.50 = 94,243.50/x
3. Step 3: Cross multiply
   42,966x = 94,243.50 × 94,243.50
4. Step 4: Simplify right side
   42,966x = 8,881,837,292.25
5. Step 5: Solve for x
   x = 8,881,837,292.25/42,966
6. Step 6: Final answer
   x = 206,717.81