Finding the Third Proportional to 46,440 and 101,783

Step by Step Solution

1. Step 1: Write the proportion equation
   46,440 : 101,783 = 101,783 : x
2. Step 2: Convert to fraction form
   46,440/101,783 = 101,783/x
3. Step 3: Cross multiply
   46,440x = 101,783 × 101,783
4. Step 4: Simplify right side
   46,440x = 10,359,779,089
5. Step 5: Solve for x
   x = 10,359,779,089/46,440
6. Step 6: Final answer
   x = 223,078.79