Finding the Third Proportional to 506,922 and 784,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   506,922 : 784,648.50 = 784,648.50 : x
2. Step 2: Convert to fraction form
   506,922/784,648.50 = 784,648.50/x
3. Step 3: Cross multiply
   506,922x = 784,648.50 × 784,648.50
4. Step 4: Simplify right side
   506,922x = 615,673,268,552.25
5. Step 5: Solve for x
   x = 615,673,268,552.25/506,922
6. Step 6: Final answer
   x = 1,214,532.55