Finding the Third Proportional to 47,823 and 105,079.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,823 : 105,079.50 = 105,079.50 : x
2. Step 2: Convert to fraction form
   47,823/105,079.50 = 105,079.50/x
3. Step 3: Cross multiply
   47,823x = 105,079.50 × 105,079.50
4. Step 4: Simplify right side
   47,823x = 11,041,701,320.25
5. Step 5: Solve for x
   x = 11,041,701,320.25/47,823
6. Step 6: Final answer
   x = 230,886.84