Finding the Third Proportional to 47,961 and 112,021.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,961 : 112,021.50 = 112,021.50 : x
2. Step 2: Convert to fraction form
   47,961/112,021.50 = 112,021.50/x
3. Step 3: Cross multiply
   47,961x = 112,021.50 × 112,021.50
4. Step 4: Simplify right side
   47,961x = 12,548,816,462.25
5. Step 5: Solve for x
   x = 12,548,816,462.25/47,961
6. Step 6: Final answer
   x = 261,646.26