Finding the Third Proportional to 47,916 and 101,977.88

Step by Step Solution

1. Step 1: Write the proportion equation
   47,916 : 101,977.88 = 101,977.88 : x
2. Step 2: Convert to fraction form
   47,916/101,977.88 = 101,977.88/x
3. Step 3: Cross multiply
   47,916x = 101,977.88 × 101,977.88
4. Step 4: Simplify right side
   47,916x = 10,399,486,989.52
5. Step 5: Solve for x
   x = 10,399,486,989.52/47,916
6. Step 6: Final answer
   x = 217,035.79