Finding the Third Proportional to 257,263 and 366,978

Step by Step Solution

1. Step 1: Write the proportion equation
   257,263 : 366,978 = 366,978 : x
2. Step 2: Convert to fraction form
   257,263/366,978 = 366,978/x
3. Step 3: Cross multiply
   257,263x = 366,978 × 366,978
4. Step 4: Simplify right side
   257,263x = 134,672,852,484
5. Step 5: Solve for x
   x = 134,672,852,484/257,263
6. Step 6: Final answer
   x = 523,483.18