Finding the Third Proportional to 1,006,138 and 1,522,167

Step by Step Solution

1. Step 1: Write the proportion equation
   1,006,138 : 1,522,167 = 1,522,167 : x
2. Step 2: Convert to fraction form
   1,006,138/1,522,167 = 1,522,167/x
3. Step 3: Cross multiply
   1,006,138x = 1,522,167 × 1,522,167
4. Step 4: Simplify right side
   1,006,138x = 2,316,992,375,889
5. Step 5: Solve for x
   x = 2,316,992,375,889/1,006,138
6. Step 6: Final answer
   x = 2,302,857.44