Finding the Third Proportional to 47,712 and 109,912.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,712 : 109,912.50 = 109,912.50 : x
2. Step 2: Convert to fraction form
   47,712/109,912.50 = 109,912.50/x
3. Step 3: Cross multiply
   47,712x = 109,912.50 × 109,912.50
4. Step 4: Simplify right side
   47,712x = 12,080,757,656.25
5. Step 5: Solve for x
   x = 12,080,757,656.25/47,712
6. Step 6: Final answer
   x = 253,201.66