Finding the Third Proportional to 705,788 and 1,538,464

Step by Step Solution

1. Step 1: Write the proportion equation
   705,788 : 1,538,464 = 1,538,464 : x
2. Step 2: Convert to fraction form
   705,788/1,538,464 = 1,538,464/x
3. Step 3: Cross multiply
   705,788x = 1,538,464 × 1,538,464
4. Step 4: Simplify right side
   705,788x = 2,366,871,479,296
5. Step 5: Solve for x
   x = 2,366,871,479,296/705,788
6. Step 6: Final answer
   x = 3,353,516.18