Finding the Third Proportional to 507,084 and 784,774

Step by Step Solution

1. Step 1: Write the proportion equation
   507,084 : 784,774 = 784,774 : x
2. Step 2: Convert to fraction form
   507,084/784,774 = 784,774/x
3. Step 3: Cross multiply
   507,084x = 784,774 × 784,774
4. Step 4: Simplify right side
   507,084x = 615,870,231,076
5. Step 5: Solve for x
   x = 615,870,231,076/507,084
6. Step 6: Final answer
   x = 1,214,532.96