Finding the Third Proportional to 113,614 and 175,740

Step by Step Solution

1. Step 1: Write the proportion equation
   113,614 : 175,740 = 175,740 : x
2. Step 2: Convert to fraction form
   113,614/175,740 = 175,740/x
3. Step 3: Cross multiply
   113,614x = 175,740 × 175,740
4. Step 4: Simplify right side
   113,614x = 30,884,547,600
5. Step 5: Solve for x
   x = 30,884,547,600/113,614
6. Step 6: Final answer
   x = 271,837.52