Finding the Third Proportional to 103,665 and 218,397.75

Step by Step Solution

1. Step 1: Write the proportion equation
   103,665 : 218,397.75 = 218,397.75 : x
2. Step 2: Convert to fraction form
   103,665/218,397.75 = 218,397.75/x
3. Step 3: Cross multiply
   103,665x = 218,397.75 × 218,397.75
4. Step 4: Simplify right side
   103,665x = 47,697,577,205.06
5. Step 5: Solve for x
   x = 47,697,577,205.06/103,665
6. Step 6: Final answer
   x = 460,112.64