Finding the Third Proportional to 46,809 and 111,922.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,809 : 111,922.50 = 111,922.50 : x
2. Step 2: Convert to fraction form
   46,809/111,922.50 = 111,922.50/x
3. Step 3: Cross multiply
   46,809x = 111,922.50 × 111,922.50
4. Step 4: Simplify right side
   46,809x = 12,526,646,006.25
5. Step 5: Solve for x
   x = 12,526,646,006.25/46,809
6. Step 6: Final answer
   x = 267,611.91