Finding the Third Proportional to 152,851 and 171,805

Step by Step Solution

1. Step 1: Write the proportion equation
   152,851 : 171,805 = 171,805 : x
2. Step 2: Convert to fraction form
   152,851/171,805 = 171,805/x
3. Step 3: Cross multiply
   152,851x = 171,805 × 171,805
4. Step 4: Simplify right side
   152,851x = 29,516,958,025
5. Step 5: Solve for x
   x = 29,516,958,025/152,851
6. Step 6: Final answer
   x = 193,109.36