Finding the Third Proportional to 589,882.50 and 902,016

Step by Step Solution

1. Step 1: Write the proportion equation
   589,882.50 : 902,016 = 902,016 : x
2. Step 2: Convert to fraction form
   589,882.50/902,016 = 902,016/x
3. Step 3: Cross multiply
   589,882.50x = 902,016 × 902,016
4. Step 4: Simplify right side
   589,882.50x = 813,632,864,256
5. Step 5: Solve for x
   x = 813,632,864,256/589,882.50
6. Step 6: Final answer
   x = 1,379,313.45