Finding the Third Proportional to 508 and 1,088.50

Step by Step Solution

1. Step 1: Write the proportion equation
   508 : 1,088.50 = 1,088.50 : x
2. Step 2: Convert to fraction form
   508/1,088.50 = 1,088.50/x
3. Step 3: Cross multiply
   508x = 1,088.50 × 1,088.50
4. Step 4: Simplify right side
   508x = 1,184,832.25
5. Step 5: Solve for x
   x = 1,184,832.25/508
6. Step 6: Final answer
   x = 2,332.35