Finding the Third Proportional to 225,697 and 342,978

Step by Step Solution

1. Step 1: Write the proportion equation
   225,697 : 342,978 = 342,978 : x
2. Step 2: Convert to fraction form
   225,697/342,978 = 342,978/x
3. Step 3: Cross multiply
   225,697x = 342,978 × 342,978
4. Step 4: Simplify right side
   225,697x = 117,633,908,484
5. Step 5: Solve for x
   x = 117,633,908,484/225,697
6. Step 6: Final answer
   x = 521,202.80