Finding the Third Proportional to 101,539.50 and 222,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,539.50 : 222,766.50 = 222,766.50 : x
2. Step 2: Convert to fraction form
   101,539.50/222,766.50 = 222,766.50/x
3. Step 3: Cross multiply
   101,539.50x = 222,766.50 × 222,766.50
4. Step 4: Simplify right side
   101,539.50x = 49,624,913,522.25
5. Step 5: Solve for x
   x = 49,624,913,522.25/101,539.50
6. Step 6: Final answer
   x = 488,725.21