Finding the Third Proportional to 118,200 and 256,092

Step by Step Solution

1. Step 1: Write the proportion equation
   118,200 : 256,092 = 256,092 : x
2. Step 2: Convert to fraction form
   118,200/256,092 = 256,092/x
3. Step 3: Cross multiply
   118,200x = 256,092 × 256,092
4. Step 4: Simplify right side
   118,200x = 65,583,112,464
5. Step 5: Solve for x
   x = 65,583,112,464/118,200
6. Step 6: Final answer
   x = 554,848.67