Finding the Third Proportional to 48,846 and 100,280

Step by Step Solution

1. Step 1: Write the proportion equation
   48,846 : 100,280 = 100,280 : x
2. Step 2: Convert to fraction form
   48,846/100,280 = 100,280/x
3. Step 3: Cross multiply
   48,846x = 100,280 × 100,280
4. Step 4: Simplify right side
   48,846x = 10,056,078,400
5. Step 5: Solve for x
   x = 10,056,078,400/48,846
6. Step 6: Final answer
   x = 205,873.12