Finding the Third Proportional to 48,456 and 102,775.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,456 : 102,775.50 = 102,775.50 : x
2. Step 2: Convert to fraction form
   48,456/102,775.50 = 102,775.50/x
3. Step 3: Cross multiply
   48,456x = 102,775.50 × 102,775.50
4. Step 4: Simplify right side
   48,456x = 10,562,803,400.25
5. Step 5: Solve for x
   x = 10,562,803,400.25/48,456
6. Step 6: Final answer
   x = 217,987.52