Finding the Third Proportional to 105,026 and 218,908

Step by Step Solution

1. Step 1: Write the proportion equation
   105,026 : 218,908 = 218,908 : x
2. Step 2: Convert to fraction form
   105,026/218,908 = 218,908/x
3. Step 3: Cross multiply
   105,026x = 218,908 × 218,908
4. Step 4: Simplify right side
   105,026x = 47,920,712,464
5. Step 5: Solve for x
   x = 47,920,712,464/105,026
6. Step 6: Final answer
   x = 456,274.76