Finding the Third Proportional to 384,964 and 812,056

Step by Step Solution

1. Step 1: Write the proportion equation
   384,964 : 812,056 = 812,056 : x
2. Step 2: Convert to fraction form
   384,964/812,056 = 812,056/x
3. Step 3: Cross multiply
   384,964x = 812,056 × 812,056
4. Step 4: Simplify right side
   384,964x = 659,434,947,136
5. Step 5: Solve for x
   x = 659,434,947,136/384,964
6. Step 6: Final answer
   x = 1,712,978.22