Finding the Third Proportional to 507 and 1,171.50

Step by Step Solution

1. Step 1: Write the proportion equation
   507 : 1,171.50 = 1,171.50 : x
2. Step 2: Convert to fraction form
   507/1,171.50 = 1,171.50/x
3. Step 3: Cross multiply
   507x = 1,171.50 × 1,171.50
4. Step 4: Simplify right side
   507x = 1,372,412.25
5. Step 5: Solve for x
   x = 1,372,412.25/507
6. Step 6: Final answer
   x = 2,706.93