Finding the Third Proportional to 47,909.25 and 105,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,909.25 : 105,538.50 = 105,538.50 : x
2. Step 2: Convert to fraction form
   47,909.25/105,538.50 = 105,538.50/x
3. Step 3: Cross multiply
   47,909.25x = 105,538.50 × 105,538.50
4. Step 4: Simplify right side
   47,909.25x = 11,138,374,982.25
5. Step 5: Solve for x
   x = 11,138,374,982.25/47,909.25
6. Step 6: Final answer
   x = 232,489.03