Finding the Third Proportional to 53,172.50 and 116,827

Step by Step Solution

1. Step 1: Write the proportion equation
   53,172.50 : 116,827 = 116,827 : x
2. Step 2: Convert to fraction form
   53,172.50/116,827 = 116,827/x
3. Step 3: Cross multiply
   53,172.50x = 116,827 × 116,827
4. Step 4: Simplify right side
   53,172.50x = 13,648,547,929
5. Step 5: Solve for x
   x = 13,648,547,929/53,172.50
6. Step 6: Final answer
   x = 256,684.34