Finding the Third Proportional to 379,982 and 592,978

Step by Step Solution

1. Step 1: Write the proportion equation
   379,982 : 592,978 = 592,978 : x
2. Step 2: Convert to fraction form
   379,982/592,978 = 592,978/x
3. Step 3: Cross multiply
   379,982x = 592,978 × 592,978
4. Step 4: Simplify right side
   379,982x = 351,622,908,484
5. Step 5: Solve for x
   x = 351,622,908,484/379,982
6. Step 6: Final answer
   x = 925,367.28