Finding the Third Proportional to 223,818 and 457,978

Step by Step Solution

1. Step 1: Write the proportion equation
   223,818 : 457,978 = 457,978 : x
2. Step 2: Convert to fraction form
   223,818/457,978 = 457,978/x
3. Step 3: Cross multiply
   223,818x = 457,978 × 457,978
4. Step 4: Simplify right side
   223,818x = 209,743,848,484
5. Step 5: Solve for x
   x = 209,743,848,484/223,818
6. Step 6: Final answer
   x = 937,117.87