Finding the Third Proportional to 113,033 and 174,746

Step by Step Solution

1. Step 1: Write the proportion equation
   113,033 : 174,746 = 174,746 : x
2. Step 2: Convert to fraction form
   113,033/174,746 = 174,746/x
3. Step 3: Cross multiply
   113,033x = 174,746 × 174,746
4. Step 4: Simplify right side
   113,033x = 30,536,164,516
5. Step 5: Solve for x
   x = 30,536,164,516/113,033
6. Step 6: Final answer
   x = 270,152.65