Finding the Third Proportional to 49,827 and 116,431.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,827 : 116,431.50 = 116,431.50 : x
2. Step 2: Convert to fraction form
   49,827/116,431.50 = 116,431.50/x
3. Step 3: Cross multiply
   49,827x = 116,431.50 × 116,431.50
4. Step 4: Simplify right side
   49,827x = 13,556,294,192.25
5. Step 5: Solve for x
   x = 13,556,294,192.25/49,827
6. Step 6: Final answer
   x = 272,067.24