Finding the Third Proportional to 506,634 and 790,624.50

Step by Step Solution

1. Step 1: Write the proportion equation
   506,634 : 790,624.50 = 790,624.50 : x
2. Step 2: Convert to fraction form
   506,634/790,624.50 = 790,624.50/x
3. Step 3: Cross multiply
   506,634x = 790,624.50 × 790,624.50
4. Step 4: Simplify right side
   506,634x = 625,087,100,000.25
5. Step 5: Solve for x
   x = 625,087,100,000.25/506,634
6. Step 6: Final answer
   x = 1,233,804.09