Finding the Third Proportional to 823,946 and 1,103,567

Step by Step Solution

1. Step 1: Write the proportion equation
   823,946 : 1,103,567 = 1,103,567 : x
2. Step 2: Convert to fraction form
   823,946/1,103,567 = 1,103,567/x
3. Step 3: Cross multiply
   823,946x = 1,103,567 × 1,103,567
4. Step 4: Simplify right side
   823,946x = 1,217,860,123,489
5. Step 5: Solve for x
   x = 1,217,860,123,489/823,946
6. Step 6: Final answer
   x = 1,478,082.45