Finding the Third Proportional to 523,779 and 784,804.50

Step by Step Solution

1. Step 1: Write the proportion equation
   523,779 : 784,804.50 = 784,804.50 : x
2. Step 2: Convert to fraction form
   523,779/784,804.50 = 784,804.50/x
3. Step 3: Cross multiply
   523,779x = 784,804.50 × 784,804.50
4. Step 4: Simplify right side
   523,779x = 615,918,103,220.25
5. Step 5: Solve for x
   x = 615,918,103,220.25/523,779
6. Step 6: Final answer
   x = 1,175,912.18