Finding the Third Proportional to 171,064 and 265,522

Step by Step Solution

1. Step 1: Write the proportion equation
   171,064 : 265,522 = 265,522 : x
2. Step 2: Convert to fraction form
   171,064/265,522 = 265,522/x
3. Step 3: Cross multiply
   171,064x = 265,522 × 265,522
4. Step 4: Simplify right side
   171,064x = 70,501,932,484
5. Step 5: Solve for x
   x = 70,501,932,484/171,064
6. Step 6: Final answer
   x = 412,137.75