Finding the Third Proportional to 103,666 and 217,777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,666 : 217,777.50 = 217,777.50 : x
2. Step 2: Convert to fraction form
   103,666/217,777.50 = 217,777.50/x
3. Step 3: Cross multiply
   103,666x = 217,777.50 × 217,777.50
4. Step 4: Simplify right side
   103,666x = 47,427,039,506.25
5. Step 5: Solve for x
   x = 47,427,039,506.25/103,666
6. Step 6: Final answer
   x = 457,498.50