Finding the Third Proportional to 103,665.50 and 217,773

Step by Step Solution

1. Step 1: Write the proportion equation
   103,665.50 : 217,773 = 217,773 : x
2. Step 2: Convert to fraction form
   103,665.50/217,773 = 217,773/x
3. Step 3: Cross multiply
   103,665.50x = 217,773 × 217,773
4. Step 4: Simplify right side
   103,665.50x = 47,425,079,529
5. Step 5: Solve for x
   x = 47,425,079,529/103,665.50
6. Step 6: Final answer
   x = 457,481.80