Finding the Third Proportional to 101,817 and 223,710.75

Step by Step Solution

1. Step 1: Write the proportion equation
   101,817 : 223,710.75 = 223,710.75 : x
2. Step 2: Convert to fraction form
   101,817/223,710.75 = 223,710.75/x
3. Step 3: Cross multiply
   101,817x = 223,710.75 × 223,710.75
4. Step 4: Simplify right side
   101,817x = 50,046,499,665.56
5. Step 5: Solve for x
   x = 50,046,499,665.56/101,817
6. Step 6: Final answer
   x = 491,533.83