Finding the Third Proportional to 367,664 and 536,900

Step by Step Solution

1. Step 1: Write the proportion equation
   367,664 : 536,900 = 536,900 : x
2. Step 2: Convert to fraction form
   367,664/536,900 = 536,900/x
3. Step 3: Cross multiply
   367,664x = 536,900 × 536,900
4. Step 4: Simplify right side
   367,664x = 288,261,610,000
5. Step 5: Solve for x
   x = 288,261,610,000/367,664
6. Step 6: Final answer
   x = 784,035.45