Finding the Third Proportional to 152,847 and 171,801

Step by Step Solution

1. Step 1: Write the proportion equation
   152,847 : 171,801 = 171,801 : x
2. Step 2: Convert to fraction form
   152,847/171,801 = 171,801/x
3. Step 3: Cross multiply
   152,847x = 171,801 × 171,801
4. Step 4: Simplify right side
   152,847x = 29,515,583,601
5. Step 5: Solve for x
   x = 29,515,583,601/152,847
6. Step 6: Final answer
   x = 193,105.42