Finding the Third Proportional to 47,748 and 105,025.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,748 : 105,025.50 = 105,025.50 : x
2. Step 2: Convert to fraction form
   47,748/105,025.50 = 105,025.50/x
3. Step 3: Cross multiply
   47,748x = 105,025.50 × 105,025.50
4. Step 4: Simplify right side
   47,748x = 11,030,355,650.25
5. Step 5: Solve for x
   x = 11,030,355,650.25/47,748
6. Step 6: Final answer
   x = 231,011.89