Finding the Third Proportional to 103,598 and 228,978

Step by Step Solution

1. Step 1: Write the proportion equation
   103,598 : 228,978 = 228,978 : x
2. Step 2: Convert to fraction form
   103,598/228,978 = 228,978/x
3. Step 3: Cross multiply
   103,598x = 228,978 × 228,978
4. Step 4: Simplify right side
   103,598x = 52,430,924,484
5. Step 5: Solve for x
   x = 52,430,924,484/103,598
6. Step 6: Final answer
   x = 506,099.77