Finding the Third Proportional to 152,913 and 164,577

Step by Step Solution

1. Step 1: Write the proportion equation
   152,913 : 164,577 = 164,577 : x
2. Step 2: Convert to fraction form
   152,913/164,577 = 164,577/x
3. Step 3: Cross multiply
   152,913x = 164,577 × 164,577
4. Step 4: Simplify right side
   152,913x = 27,085,588,929
5. Step 5: Solve for x
   x = 27,085,588,929/152,913
6. Step 6: Final answer
   x = 177,130.71