Finding the Third Proportional to 48,541 and 103,830.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,541 : 103,830.50 = 103,830.50 : x
2. Step 2: Convert to fraction form
   48,541/103,830.50 = 103,830.50/x
3. Step 3: Cross multiply
   48,541x = 103,830.50 × 103,830.50
4. Step 4: Simplify right side
   48,541x = 10,780,772,730.25
5. Step 5: Solve for x
   x = 10,780,772,730.25/48,541
6. Step 6: Final answer
   x = 222,096.22