Finding the Third Proportional to 748.50 and 1,186.50

Step by Step Solution

1. Step 1: Write the proportion equation
   748.50 : 1,186.50 = 1,186.50 : x
2. Step 2: Convert to fraction form
   748.50/1,186.50 = 1,186.50/x
3. Step 3: Cross multiply
   748.50x = 1,186.50 × 1,186.50
4. Step 4: Simplify right side
   748.50x = 1,407,782.25
5. Step 5: Solve for x
   x = 1,407,782.25/748.50
6. Step 6: Final answer
   x = 1,880.80