Finding the Third Proportional to 538.50 and 783.56

Step by Step Solution

1. Step 1: Write the proportion equation
   538.50 : 783.56 = 783.56 : x
2. Step 2: Convert to fraction form
   538.50/783.56 = 783.56/x
3. Step 3: Cross multiply
   538.50x = 783.56 × 783.56
4. Step 4: Simplify right side
   538.50x = 613,970.19
5. Step 5: Solve for x
   x = 613,970.19/538.50
6. Step 6: Final answer
   x = 1,140.15