Finding the Third Proportional to 47,810 and 101,092

Step by Step Solution

1. Step 1: Write the proportion equation
   47,810 : 101,092 = 101,092 : x
2. Step 2: Convert to fraction form
   47,810/101,092 = 101,092/x
3. Step 3: Cross multiply
   47,810x = 101,092 × 101,092
4. Step 4: Simplify right side
   47,810x = 10,219,592,464
5. Step 5: Solve for x
   x = 10,219,592,464/47,810
6. Step 6: Final answer
   x = 213,754.29