Finding the Third Proportional to 117,250 and 256,558

Step by Step Solution

1. Step 1: Write the proportion equation
   117,250 : 256,558 = 256,558 : x
2. Step 2: Convert to fraction form
   117,250/256,558 = 256,558/x
3. Step 3: Cross multiply
   117,250x = 256,558 × 256,558
4. Step 4: Simplify right side
   117,250x = 65,822,007,364
5. Step 5: Solve for x
   x = 65,822,007,364/117,250
6. Step 6: Final answer
   x = 561,381.73