Finding the Third Proportional to 590,978 and 865,501

Step by Step Solution

1. Step 1: Write the proportion equation
   590,978 : 865,501 = 865,501 : x
2. Step 2: Convert to fraction form
   590,978/865,501 = 865,501/x
3. Step 3: Cross multiply
   590,978x = 865,501 × 865,501
4. Step 4: Simplify right side
   590,978x = 749,091,981,001
5. Step 5: Solve for x
   x = 749,091,981,001/590,978
6. Step 6: Final answer
   x = 1,267,546.31