Finding the Third Proportional to 116,488 and 175,838

Step by Step Solution

1. Step 1: Write the proportion equation
   116,488 : 175,838 = 175,838 : x
2. Step 2: Convert to fraction form
   116,488/175,838 = 175,838/x
3. Step 3: Cross multiply
   116,488x = 175,838 × 175,838
4. Step 4: Simplify right side
   116,488x = 30,919,002,244
5. Step 5: Solve for x
   x = 30,919,002,244/116,488
6. Step 6: Final answer
   x = 265,426.50