Finding the Third Proportional to 1,001,414 and 1,537,116

Step by Step Solution

1. Step 1: Write the proportion equation
   1,001,414 : 1,537,116 = 1,537,116 : x
2. Step 2: Convert to fraction form
   1,001,414/1,537,116 = 1,537,116/x
3. Step 3: Cross multiply
   1,001,414x = 1,537,116 × 1,537,116
4. Step 4: Simplify right side
   1,001,414x = 2,362,725,597,456
5. Step 5: Solve for x
   x = 2,362,725,597,456/1,001,414
6. Step 6: Final answer
   x = 2,359,389.42