Finding the Third Proportional to 113,031 and 174,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,031 : 174,742.50 = 174,742.50 : x
2. Step 2: Convert to fraction form
   113,031/174,742.50 = 174,742.50/x
3. Step 3: Cross multiply
   113,031x = 174,742.50 × 174,742.50
4. Step 4: Simplify right side
   113,031x = 30,534,941,306.25
5. Step 5: Solve for x
   x = 30,534,941,306.25/113,031
6. Step 6: Final answer
   x = 270,146.61