Finding the Third Proportional to 46,506 and 100,464

Step by Step Solution

1. Step 1: Write the proportion equation
   46,506 : 100,464 = 100,464 : x
2. Step 2: Convert to fraction form
   46,506/100,464 = 100,464/x
3. Step 3: Cross multiply
   46,506x = 100,464 × 100,464
4. Step 4: Simplify right side
   46,506x = 10,093,015,296
5. Step 5: Solve for x
   x = 10,093,015,296/46,506
6. Step 6: Final answer
   x = 217,026.09