Finding the Third Proportional to 116,192 and 254,536

Step by Step Solution

1. Step 1: Write the proportion equation
   116,192 : 254,536 = 254,536 : x
2. Step 2: Convert to fraction form
   116,192/254,536 = 254,536/x
3. Step 3: Cross multiply
   116,192x = 254,536 × 254,536
4. Step 4: Simplify right side
   116,192x = 64,788,575,296
5. Step 5: Solve for x
   x = 64,788,575,296/116,192
6. Step 6: Final answer
   x = 557,599.28