Finding the Third Proportional to 102,278 and 218,771.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,278 : 218,771.50 = 218,771.50 : x
2. Step 2: Convert to fraction form
   102,278/218,771.50 = 218,771.50/x
3. Step 3: Cross multiply
   102,278x = 218,771.50 × 218,771.50
4. Step 4: Simplify right side
   102,278x = 47,860,969,212.25
5. Step 5: Solve for x
   x = 47,860,969,212.25/102,278
6. Step 6: Final answer
   x = 467,949.80