Finding the Third Proportional to 116,464 and 175,656

Step by Step Solution

1. Step 1: Write the proportion equation
   116,464 : 175,656 = 175,656 : x
2. Step 2: Convert to fraction form
   116,464/175,656 = 175,656/x
3. Step 3: Cross multiply
   116,464x = 175,656 × 175,656
4. Step 4: Simplify right side
   116,464x = 30,855,030,336
5. Step 5: Solve for x
   x = 30,855,030,336/116,464
6. Step 6: Final answer
   x = 264,931.91