Finding the Third Proportional to 523,642 and 805,875.50

Step by Step Solution

1. Step 1: Write the proportion equation
   523,642 : 805,875.50 = 805,875.50 : x
2. Step 2: Convert to fraction form
   523,642/805,875.50 = 805,875.50/x
3. Step 3: Cross multiply
   523,642x = 805,875.50 × 805,875.50
4. Step 4: Simplify right side
   523,642x = 649,435,321,500.25
5. Step 5: Solve for x
   x = 649,435,321,500.25/523,642
6. Step 6: Final answer
   x = 1,240,227.72