Finding the Third Proportional to 116,946 and 253,656

Step by Step Solution

1. Step 1: Write the proportion equation
   116,946 : 253,656 = 253,656 : x
2. Step 2: Convert to fraction form
   116,946/253,656 = 253,656/x
3. Step 3: Cross multiply
   116,946x = 253,656 × 253,656
4. Step 4: Simplify right side
   116,946x = 64,341,366,336
5. Step 5: Solve for x
   x = 64,341,366,336/116,946
6. Step 6: Final answer
   x = 550,180.14