Finding the Third Proportional to 105,729 and 227,962.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,729 : 227,962.50 = 227,962.50 : x
2. Step 2: Convert to fraction form
   105,729/227,962.50 = 227,962.50/x
3. Step 3: Cross multiply
   105,729x = 227,962.50 × 227,962.50
4. Step 4: Simplify right side
   105,729x = 51,966,901,406.25
5. Step 5: Solve for x
   x = 51,966,901,406.25/105,729
6. Step 6: Final answer
   x = 491,510.38