Finding the Third Proportional to 367,460 and 520,099

Step by Step Solution

1. Step 1: Write the proportion equation
   367,460 : 520,099 = 520,099 : x
2. Step 2: Convert to fraction form
   367,460/520,099 = 520,099/x
3. Step 3: Cross multiply
   367,460x = 520,099 × 520,099
4. Step 4: Simplify right side
   367,460x = 270,502,969,801
5. Step 5: Solve for x
   x = 270,502,969,801/367,460
6. Step 6: Final answer
   x = 736,142.63