Finding the Third Proportional to 118,192.50 and 256,077

Step by Step Solution

1. Step 1: Write the proportion equation
   118,192.50 : 256,077 = 256,077 : x
2. Step 2: Convert to fraction form
   118,192.50/256,077 = 256,077/x
3. Step 3: Cross multiply
   118,192.50x = 256,077 × 256,077
4. Step 4: Simplify right side
   118,192.50x = 65,575,429,929
5. Step 5: Solve for x
   x = 65,575,429,929/118,192.50
6. Step 6: Final answer
   x = 554,818.88