Finding the Third Proportional to 117,127.50 and 256,827

Step by Step Solution

1. Step 1: Write the proportion equation
   117,127.50 : 256,827 = 256,827 : x
2. Step 2: Convert to fraction form
   117,127.50/256,827 = 256,827/x
3. Step 3: Cross multiply
   117,127.50x = 256,827 × 256,827
4. Step 4: Simplify right side
   117,127.50x = 65,960,107,929
5. Step 5: Solve for x
   x = 65,960,107,929/117,127.50
6. Step 6: Final answer
   x = 563,147.92