Finding the Third Proportional to 506,404 and 783,865.50

Step by Step Solution

1. Step 1: Write the proportion equation
   506,404 : 783,865.50 = 783,865.50 : x
2. Step 2: Convert to fraction form
   506,404/783,865.50 = 783,865.50/x
3. Step 3: Cross multiply
   506,404x = 783,865.50 × 783,865.50
4. Step 4: Simplify right side
   506,404x = 614,445,122,090.25
5. Step 5: Solve for x
   x = 614,445,122,090.25/506,404
6. Step 6: Final answer
   x = 1,213,349.66