Finding the Third Proportional to 1,007,666 and 1,506,123

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007,666 : 1,506,123 = 1,506,123 : x
2. Step 2: Convert to fraction form
   1,007,666/1,506,123 = 1,506,123/x
3. Step 3: Cross multiply
   1,007,666x = 1,506,123 × 1,506,123
4. Step 4: Simplify right side
   1,007,666x = 2,268,406,491,129
5. Step 5: Solve for x
   x = 2,268,406,491,129/1,007,666
6. Step 6: Final answer
   x = 2,251,149.18