Finding the Third Proportional to 103,662 and 218,393.25

Step by Step Solution

1. Step 1: Write the proportion equation
   103,662 : 218,393.25 = 218,393.25 : x
2. Step 2: Convert to fraction form
   103,662/218,393.25 = 218,393.25/x
3. Step 3: Cross multiply
   103,662x = 218,393.25 × 218,393.25
4. Step 4: Simplify right side
   103,662x = 47,695,611,645.56
5. Step 5: Solve for x
   x = 47,695,611,645.56/103,662
6. Step 6: Final answer
   x = 460,107.00