Finding the Third Proportional to 113,070 and 175,830

Step by Step Solution

1. Step 1: Write the proportion equation
   113,070 : 175,830 = 175,830 : x
2. Step 2: Convert to fraction form
   113,070/175,830 = 175,830/x
3. Step 3: Cross multiply
   113,070x = 175,830 × 175,830
4. Step 4: Simplify right side
   113,070x = 30,916,188,900
5. Step 5: Solve for x
   x = 30,916,188,900/113,070
6. Step 6: Final answer
   x = 273,425.21