Finding the Third Proportional to 48,447 and 102,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,447 : 102,766.50 = 102,766.50 : x
2. Step 2: Convert to fraction form
   48,447/102,766.50 = 102,766.50/x
3. Step 3: Cross multiply
   48,447x = 102,766.50 × 102,766.50
4. Step 4: Simplify right side
   48,447x = 10,560,953,522.25
5. Step 5: Solve for x
   x = 10,560,953,522.25/48,447
6. Step 6: Final answer
   x = 217,989.83