Finding the Third Proportional to 471,978 and 707,832

Step by Step Solution

1. Step 1: Write the proportion equation
   471,978 : 707,832 = 707,832 : x
2. Step 2: Convert to fraction form
   471,978/707,832 = 707,832/x
3. Step 3: Cross multiply
   471,978x = 707,832 × 707,832
4. Step 4: Simplify right side
   471,978x = 501,026,140,224
5. Step 5: Solve for x
   x = 501,026,140,224/471,978
6. Step 6: Final answer
   x = 1,061,545.54