Finding the Third Proportional to 102,276 and 218,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,276 : 218,766.50 = 218,766.50 : x
2. Step 2: Convert to fraction form
   102,276/218,766.50 = 218,766.50/x
3. Step 3: Cross multiply
   102,276x = 218,766.50 × 218,766.50
4. Step 4: Simplify right side
   102,276x = 47,858,781,522.25
5. Step 5: Solve for x
   x = 47,858,781,522.25/102,276
6. Step 6: Final answer
   x = 467,937.56