Finding the Third Proportional to 117,548 and 277,256

Step by Step Solution

1. Step 1: Write the proportion equation
   117,548 : 277,256 = 277,256 : x
2. Step 2: Convert to fraction form
   117,548/277,256 = 277,256/x
3. Step 3: Cross multiply
   117,548x = 277,256 × 277,256
4. Step 4: Simplify right side
   117,548x = 76,870,889,536
5. Step 5: Solve for x
   x = 76,870,889,536/117,548
6. Step 6: Final answer
   x = 653,953.19