Finding the Third Proportional to 54,758.50 and 117,697

Step by Step Solution

1. Step 1: Write the proportion equation
   54,758.50 : 117,697 = 117,697 : x
2. Step 2: Convert to fraction form
   54,758.50/117,697 = 117,697/x
3. Step 3: Cross multiply
   54,758.50x = 117,697 × 117,697
4. Step 4: Simplify right side
   54,758.50x = 13,852,583,809
5. Step 5: Solve for x
   x = 13,852,583,809/54,758.50
6. Step 6: Final answer
   x = 252,975.95