Finding the Third Proportional to 1,565,146 and 2,380,606

Step by Step Solution

1. Step 1: Write the proportion equation
   1,565,146 : 2,380,606 = 2,380,606 : x
2. Step 2: Convert to fraction form
   1,565,146/2,380,606 = 2,380,606/x
3. Step 3: Cross multiply
   1,565,146x = 2,380,606 × 2,380,606
4. Step 4: Simplify right side
   1,565,146x = 5,667,284,927,236
5. Step 5: Solve for x
   x = 5,667,284,927,236/1,565,146
6. Step 6: Final answer
   x = 3,620,930.52