Finding the Third Proportional to 113,532 and 171,870

Step by Step Solution

1. Step 1: Write the proportion equation
   113,532 : 171,870 = 171,870 : x
2. Step 2: Convert to fraction form
   113,532/171,870 = 171,870/x
3. Step 3: Cross multiply
   113,532x = 171,870 × 171,870
4. Step 4: Simplify right side
   113,532x = 29,539,296,900
5. Step 5: Solve for x
   x = 29,539,296,900/113,532
6. Step 6: Final answer
   x = 260,184.77