Finding the Third Proportional to 46,320 and 99,840

Step by Step Solution

1. Step 1: Write the proportion equation
   46,320 : 99,840 = 99,840 : x
2. Step 2: Convert to fraction form
   46,320/99,840 = 99,840/x
3. Step 3: Cross multiply
   46,320x = 99,840 × 99,840
4. Step 4: Simplify right side
   46,320x = 9,968,025,600
5. Step 5: Solve for x
   x = 9,968,025,600/46,320
6. Step 6: Final answer
   x = 215,199.17