Finding the Third Proportional to 96,627 and 139,174.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,627 : 139,174.50 = 139,174.50 : x
2. Step 2: Convert to fraction form
   96,627/139,174.50 = 139,174.50/x
3. Step 3: Cross multiply
   96,627x = 139,174.50 × 139,174.50
4. Step 4: Simplify right side
   96,627x = 19,369,541,450.25
5. Step 5: Solve for x
   x = 19,369,541,450.25/96,627
6. Step 6: Final answer
   x = 200,456.82