Finding the Third Proportional to 373,846 and 561,144

Step by Step Solution

1. Step 1: Write the proportion equation
   373,846 : 561,144 = 561,144 : x
2. Step 2: Convert to fraction form
   373,846/561,144 = 561,144/x
3. Step 3: Cross multiply
   373,846x = 561,144 × 561,144
4. Step 4: Simplify right side
   373,846x = 314,882,588,736
5. Step 5: Solve for x
   x = 314,882,588,736/373,846
6. Step 6: Final answer
   x = 842,278.88