Finding the Third Proportional to 40,417.50 and 83,323.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,417.50 : 83,323.50 = 83,323.50 : x
2. Step 2: Convert to fraction form
   40,417.50/83,323.50 = 83,323.50/x
3. Step 3: Cross multiply
   40,417.50x = 83,323.50 × 83,323.50
4. Step 4: Simplify right side
   40,417.50x = 6,942,805,652.25
5. Step 5: Solve for x
   x = 6,942,805,652.25/40,417.50
6. Step 6: Final answer
   x = 171,777.22