Finding the Third Proportional to 47,435 and 105,374

Step by Step Solution

1. Step 1: Write the proportion equation
   47,435 : 105,374 = 105,374 : x
2. Step 2: Convert to fraction form
   47,435/105,374 = 105,374/x
3. Step 3: Cross multiply
   47,435x = 105,374 × 105,374
4. Step 4: Simplify right side
   47,435x = 11,103,679,876
5. Step 5: Solve for x
   x = 11,103,679,876/47,435
6. Step 6: Final answer
   x = 234,082.00