Finding the Third Proportional to 46,436 and 101,775

Step by Step Solution

1. Step 1: Write the proportion equation
   46,436 : 101,775 = 101,775 : x
2. Step 2: Convert to fraction form
   46,436/101,775 = 101,775/x
3. Step 3: Cross multiply
   46,436x = 101,775 × 101,775
4. Step 4: Simplify right side
   46,436x = 10,358,150,625
5. Step 5: Solve for x
   x = 10,358,150,625/46,436
6. Step 6: Final answer
   x = 223,062.94