Finding the Third Proportional to 506,637 and 790,627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   506,637 : 790,627.50 = 790,627.50 : x
2. Step 2: Convert to fraction form
   506,637/790,627.50 = 790,627.50/x
3. Step 3: Cross multiply
   506,637x = 790,627.50 × 790,627.50
4. Step 4: Simplify right side
   506,637x = 625,091,843,756.25
5. Step 5: Solve for x
   x = 625,091,843,756.25/506,637
6. Step 6: Final answer
   x = 1,233,806.14