Finding the Third Proportional to 420,846 and 652,978

Step by Step Solution

1. Step 1: Write the proportion equation
   420,846 : 652,978 = 652,978 : x
2. Step 2: Convert to fraction form
   420,846/652,978 = 652,978/x
3. Step 3: Cross multiply
   420,846x = 652,978 × 652,978
4. Step 4: Simplify right side
   420,846x = 426,380,268,484
5. Step 5: Solve for x
   x = 426,380,268,484/420,846
6. Step 6: Final answer
   x = 1,013,150.34