Finding the Third Proportional to 47,637 and 107,410.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,637 : 107,410.50 = 107,410.50 : x
2. Step 2: Convert to fraction form
   47,637/107,410.50 = 107,410.50/x
3. Step 3: Cross multiply
   47,637x = 107,410.50 × 107,410.50
4. Step 4: Simplify right side
   47,637x = 11,537,015,510.25
5. Step 5: Solve for x
   x = 11,537,015,510.25/47,637
6. Step 6: Final answer
   x = 242,186.02