Finding the Third Proportional to 47,543 and 101,833

Step by Step Solution

1. Step 1: Write the proportion equation
   47,543 : 101,833 = 101,833 : x
2. Step 2: Convert to fraction form
   47,543/101,833 = 101,833/x
3. Step 3: Cross multiply
   47,543x = 101,833 × 101,833
4. Step 4: Simplify right side
   47,543x = 10,369,959,889
5. Step 5: Solve for x
   x = 10,369,959,889/47,543
6. Step 6: Final answer
   x = 218,117.49