Finding the Third Proportional to 47,944 and 105,428

Step by Step Solution

1. Step 1: Write the proportion equation
   47,944 : 105,428 = 105,428 : x
2. Step 2: Convert to fraction form
   47,944/105,428 = 105,428/x
3. Step 3: Cross multiply
   47,944x = 105,428 × 105,428
4. Step 4: Simplify right side
   47,944x = 11,115,063,184
5. Step 5: Solve for x
   x = 11,115,063,184/47,944
6. Step 6: Final answer
   x = 231,834.29