Finding the Third Proportional to 45,804 and 100,464

Step by Step Solution

1. Step 1: Write the proportion equation
   45,804 : 100,464 = 100,464 : x
2. Step 2: Convert to fraction form
   45,804/100,464 = 100,464/x
3. Step 3: Cross multiply
   45,804x = 100,464 × 100,464
4. Step 4: Simplify right side
   45,804x = 10,093,015,296
5. Step 5: Solve for x
   x = 10,093,015,296/45,804
6. Step 6: Final answer
   x = 220,352.27