Finding the Third Proportional to 118,185 and 175,422

Step by Step Solution

1. Step 1: Write the proportion equation
   118,185 : 175,422 = 175,422 : x
2. Step 2: Convert to fraction form
   118,185/175,422 = 175,422/x
3. Step 3: Cross multiply
   118,185x = 175,422 × 175,422
4. Step 4: Simplify right side
   118,185x = 30,772,878,084
5. Step 5: Solve for x
   x = 30,772,878,084/118,185
6. Step 6: Final answer
   x = 260,378.88