Finding the Third Proportional to 102,016.50 and 223,711

Step by Step Solution

1. Step 1: Write the proportion equation
   102,016.50 : 223,711 = 223,711 : x
2. Step 2: Convert to fraction form
   102,016.50/223,711 = 223,711/x
3. Step 3: Cross multiply
   102,016.50x = 223,711 × 223,711
4. Step 4: Simplify right side
   102,016.50x = 50,046,611,521
5. Step 5: Solve for x
   x = 50,046,611,521/102,016.50
6. Step 6: Final answer
   x = 490,573.70