Finding the Third Proportional to 113,340 and 174,886

Step by Step Solution

1. Step 1: Write the proportion equation
   113,340 : 174,886 = 174,886 : x
2. Step 2: Convert to fraction form
   113,340/174,886 = 174,886/x
3. Step 3: Cross multiply
   113,340x = 174,886 × 174,886
4. Step 4: Simplify right side
   113,340x = 30,585,112,996
5. Step 5: Solve for x
   x = 30,585,112,996/113,340
6. Step 6: Final answer
   x = 269,852.77