Finding the Third Proportional to 678.50 and 741.50

Step by Step Solution

1. Step 1: Write the proportion equation
   678.50 : 741.50 = 741.50 : x
2. Step 2: Convert to fraction form
   678.50/741.50 = 741.50/x
3. Step 3: Cross multiply
   678.50x = 741.50 × 741.50
4. Step 4: Simplify right side
   678.50x = 549,822.25
5. Step 5: Solve for x
   x = 549,822.25/678.50
6. Step 6: Final answer
   x = 810.35