Finding the Third Proportional to 159,637.50 and 213,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   159,637.50 : 213,016.50 = 213,016.50 : x
2. Step 2: Convert to fraction form
   159,637.50/213,016.50 = 213,016.50/x
3. Step 3: Cross multiply
   159,637.50x = 213,016.50 × 213,016.50
4. Step 4: Simplify right side
   159,637.50x = 45,376,029,272.25
5. Step 5: Solve for x
   x = 45,376,029,272.25/159,637.50
6. Step 6: Final answer
   x = 284,244.17