Finding the Third Proportional to 131,298.75 and 185,799.38

Step by Step Solution

1. Step 1: Write the proportion equation
   131,298.75 : 185,799.38 = 185,799.38 : x
2. Step 2: Convert to fraction form
   131,298.75/185,799.38 = 185,799.38/x
3. Step 3: Cross multiply
   131,298.75x = 185,799.38 × 185,799.38
4. Step 4: Simplify right side
   131,298.75x = 34,521,407,750.39
5. Step 5: Solve for x
   x = 34,521,407,750.39/131,298.75
6. Step 6: Final answer
   x = 262,922.59