Finding the Third Proportional to 505,947 and 756,184.50

Step by Step Solution

1. Step 1: Write the proportion equation
   505,947 : 756,184.50 = 756,184.50 : x
2. Step 2: Convert to fraction form
   505,947/756,184.50 = 756,184.50/x
3. Step 3: Cross multiply
   505,947x = 756,184.50 × 756,184.50
4. Step 4: Simplify right side
   505,947x = 571,814,998,040.25
5. Step 5: Solve for x
   x = 571,814,998,040.25/505,947
6. Step 6: Final answer
   x = 1,130,187.55