Finding the Third Proportional to 505,100.81 and 784,215

Step by Step Solution

1. Step 1: Write the proportion equation
   505,100.81 : 784,215 = 784,215 : x
2. Step 2: Convert to fraction form
   505,100.81/784,215 = 784,215/x
3. Step 3: Cross multiply
   505,100.81x = 784,215 × 784,215
4. Step 4: Simplify right side
   505,100.81x = 614,993,166,225
5. Step 5: Solve for x
   x = 614,993,166,225/505,100.81
6. Step 6: Final answer
   x = 1,217,565.19