Finding the Third Proportional to 769,952 and 1,588,684

Step by Step Solution

1. Step 1: Write the proportion equation
   769,952 : 1,588,684 = 1,588,684 : x
2. Step 2: Convert to fraction form
   769,952/1,588,684 = 1,588,684/x
3. Step 3: Cross multiply
   769,952x = 1,588,684 × 1,588,684
4. Step 4: Simplify right side
   769,952x = 2,523,916,851,856
5. Step 5: Solve for x
   x = 2,523,916,851,856/769,952
6. Step 6: Final answer
   x = 3,278,018.44