Finding the Third Proportional to 46,365 and 101,478

Step by Step Solution

1. Step 1: Write the proportion equation
   46,365 : 101,478 = 101,478 : x
2. Step 2: Convert to fraction form
   46,365/101,478 = 101,478/x
3. Step 3: Cross multiply
   46,365x = 101,478 × 101,478
4. Step 4: Simplify right side
   46,365x = 10,297,784,484
5. Step 5: Solve for x
   x = 10,297,784,484/46,365
6. Step 6: Final answer
   x = 222,102.54