Finding the Third Proportional to 49,576.50 and 96,662.25

Step by Step Solution

1. Step 1: Write the proportion equation
   49,576.50 : 96,662.25 = 96,662.25 : x
2. Step 2: Convert to fraction form
   49,576.50/96,662.25 = 96,662.25/x
3. Step 3: Cross multiply
   49,576.50x = 96,662.25 × 96,662.25
4. Step 4: Simplify right side
   49,576.50x = 9,343,590,575.06
5. Step 5: Solve for x
   x = 9,343,590,575.06/49,576.50
6. Step 6: Final answer
   x = 188,468.14