Finding the Third Proportional to 114,410.25 and 173,092.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,410.25 : 173,092.50 = 173,092.50 : x
2. Step 2: Convert to fraction form
   114,410.25/173,092.50 = 173,092.50/x
3. Step 3: Cross multiply
   114,410.25x = 173,092.50 × 173,092.50
4. Step 4: Simplify right side
   114,410.25x = 29,961,013,556.25
5. Step 5: Solve for x
   x = 29,961,013,556.25/114,410.25
6. Step 6: Final answer
   x = 261,873.51