Finding the Third Proportional to 101,760 and 223,711.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,760 : 223,711.50 = 223,711.50 : x
2. Step 2: Convert to fraction form
   101,760/223,711.50 = 223,711.50/x
3. Step 3: Cross multiply
   101,760x = 223,711.50 × 223,711.50
4. Step 4: Simplify right side
   101,760x = 50,046,835,232.25
5. Step 5: Solve for x
   x = 50,046,835,232.25/101,760
6. Step 6: Final answer
   x = 491,812.45