Finding the Third Proportional to 46,320 and 103,008

Step by Step Solution

1. Step 1: Write the proportion equation
   46,320 : 103,008 = 103,008 : x
2. Step 2: Convert to fraction form
   46,320/103,008 = 103,008/x
3. Step 3: Cross multiply
   46,320x = 103,008 × 103,008
4. Step 4: Simplify right side
   46,320x = 10,610,648,064
5. Step 5: Solve for x
   x = 10,610,648,064/46,320
6. Step 6: Final answer
   x = 229,072.71