Finding the Third Proportional to 117,774 and 255,622.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,774 : 255,622.50 = 255,622.50 : x
2. Step 2: Convert to fraction form
   117,774/255,622.50 = 255,622.50/x
3. Step 3: Cross multiply
   117,774x = 255,622.50 × 255,622.50
4. Step 4: Simplify right side
   117,774x = 65,342,862,506.25
5. Step 5: Solve for x
   x = 65,342,862,506.25/117,774
6. Step 6: Final answer
   x = 554,815.69