Finding the Third Proportional to 506,914 and 784,636.50

Step by Step Solution

1. Step 1: Write the proportion equation
   506,914 : 784,636.50 = 784,636.50 : x
2. Step 2: Convert to fraction form
   506,914/784,636.50 = 784,636.50/x
3. Step 3: Cross multiply
   506,914x = 784,636.50 × 784,636.50
4. Step 4: Simplify right side
   506,914x = 615,654,437,132.25
5. Step 5: Solve for x
   x = 615,654,437,132.25/506,914
6. Step 6: Final answer
   x = 1,214,514.57