Finding the Third Proportional to 1,188.84 and 2,317.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,188.84 : 2,317.78 = 2,317.78 : x
2. Step 2: Convert to fraction form
   1,188.84/2,317.78 = 2,317.78/x
3. Step 3: Cross multiply
   1,188.84x = 2,317.78 × 2,317.78
4. Step 4: Simplify right side
   1,188.84x = 5,372,109.92
5. Step 5: Solve for x
   x = 5,372,109.92/1,188.84
6. Step 6: Final answer
   x = 4,518.77