Finding the Third Proportional to 645,408 and 1,418,196

Step by Step Solution

1. Step 1: Write the proportion equation
   645,408 : 1,418,196 = 1,418,196 : x
2. Step 2: Convert to fraction form
   645,408/1,418,196 = 1,418,196/x
3. Step 3: Cross multiply
   645,408x = 1,418,196 × 1,418,196
4. Step 4: Simplify right side
   645,408x = 2,011,279,894,416
5. Step 5: Solve for x
   x = 2,011,279,894,416/645,408
6. Step 6: Final answer
   x = 3,116,292.17