Finding the Third Proportional to 47,938 and 100,833.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,938 : 100,833.50 = 100,833.50 : x
2. Step 2: Convert to fraction form
   47,938/100,833.50 = 100,833.50/x
3. Step 3: Cross multiply
   47,938x = 100,833.50 × 100,833.50
4. Step 4: Simplify right side
   47,938x = 10,167,394,722.25
5. Step 5: Solve for x
   x = 10,167,394,722.25/47,938
6. Step 6: Final answer
   x = 212,094.68