Finding the Third Proportional to 152,909 and 164,573

Step by Step Solution

1. Step 1: Write the proportion equation
   152,909 : 164,573 = 164,573 : x
2. Step 2: Convert to fraction form
   152,909/164,573 = 164,573/x
3. Step 3: Cross multiply
   152,909x = 164,573 × 164,573
4. Step 4: Simplify right side
   152,909x = 27,084,272,329
5. Step 5: Solve for x
   x = 27,084,272,329/152,909
6. Step 6: Final answer
   x = 177,126.74