Finding the Third Proportional to 152,917 and 164,581

Step by Step Solution

1. Step 1: Write the proportion equation
   152,917 : 164,581 = 164,581 : x
2. Step 2: Convert to fraction form
   152,917/164,581 = 164,581/x
3. Step 3: Cross multiply
   152,917x = 164,581 × 164,581
4. Step 4: Simplify right side
   152,917x = 27,086,905,561
5. Step 5: Solve for x
   x = 27,086,905,561/152,917
6. Step 6: Final answer
   x = 177,134.69