Finding the Third Proportional to 152,853 and 171,807

Step by Step Solution

1. Step 1: Write the proportion equation
   152,853 : 171,807 = 171,807 : x
2. Step 2: Convert to fraction form
   152,853/171,807 = 171,807/x
3. Step 3: Cross multiply
   152,853x = 171,807 × 171,807
4. Step 4: Simplify right side
   152,853x = 29,517,645,249
5. Step 5: Solve for x
   x = 29,517,645,249/152,853
6. Step 6: Final answer
   x = 193,111.32