Finding the Third Proportional to 367,085 and 516,944

Step by Step Solution

1. Step 1: Write the proportion equation
   367,085 : 516,944 = 516,944 : x
2. Step 2: Convert to fraction form
   367,085/516,944 = 516,944/x
3. Step 3: Cross multiply
   367,085x = 516,944 × 516,944
4. Step 4: Simplify right side
   367,085x = 267,231,099,136
5. Step 5: Solve for x
   x = 267,231,099,136/367,085
6. Step 6: Final answer
   x = 727,981.53