Finding the Third Proportional to 112,742 and 174,813

Step by Step Solution

1. Step 1: Write the proportion equation
   112,742 : 174,813 = 174,813 : x
2. Step 2: Convert to fraction form
   112,742/174,813 = 174,813/x
3. Step 3: Cross multiply
   112,742x = 174,813 × 174,813
4. Step 4: Simplify right side
   112,742x = 30,559,584,969
5. Step 5: Solve for x
   x = 30,559,584,969/112,742
6. Step 6: Final answer
   x = 271,057.68