Finding the Third Proportional to 46,258 and 101,077

Step by Step Solution

1. Step 1: Write the proportion equation
   46,258 : 101,077 = 101,077 : x
2. Step 2: Convert to fraction form
   46,258/101,077 = 101,077/x
3. Step 3: Cross multiply
   46,258x = 101,077 × 101,077
4. Step 4: Simplify right side
   46,258x = 10,216,559,929
5. Step 5: Solve for x
   x = 10,216,559,929/46,258
6. Step 6: Final answer
   x = 220,860.39