Finding the Third Proportional to 103,284 and 218,967.75

Step by Step Solution

1. Step 1: Write the proportion equation
   103,284 : 218,967.75 = 218,967.75 : x
2. Step 2: Convert to fraction form
   103,284/218,967.75 = 218,967.75/x
3. Step 3: Cross multiply
   103,284x = 218,967.75 × 218,967.75
4. Step 4: Simplify right side
   103,284x = 47,946,875,540.06
5. Step 5: Solve for x
   x = 47,946,875,540.06/103,284
6. Step 6: Final answer
   x = 464,223.65