Finding the Third Proportional to 48,277 and 100,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,277 : 100,967.50 = 100,967.50 : x
2. Step 2: Convert to fraction form
   48,277/100,967.50 = 100,967.50/x
3. Step 3: Cross multiply
   48,277x = 100,967.50 × 100,967.50
4. Step 4: Simplify right side
   48,277x = 10,194,436,056.25
5. Step 5: Solve for x
   x = 10,194,436,056.25/48,277
6. Step 6: Final answer
   x = 211,165.48