Finding the Third Proportional to 46,083 and 111,085.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,083 : 111,085.50 = 111,085.50 : x
2. Step 2: Convert to fraction form
   46,083/111,085.50 = 111,085.50/x
3. Step 3: Cross multiply
   46,083x = 111,085.50 × 111,085.50
4. Step 4: Simplify right side
   46,083x = 12,339,988,310.25
5. Step 5: Solve for x
   x = 12,339,988,310.25/46,083
6. Step 6: Final answer
   x = 267,777.45