Finding the Third Proportional to 88,974 and 193,500

Step by Step Solution

1. Step 1: Write the proportion equation
   88,974 : 193,500 = 193,500 : x
2. Step 2: Convert to fraction form
   88,974/193,500 = 193,500/x
3. Step 3: Cross multiply
   88,974x = 193,500 × 193,500
4. Step 4: Simplify right side
   88,974x = 37,442,250,000
5. Step 5: Solve for x
   x = 37,442,250,000/88,974
6. Step 6: Final answer
   x = 420,822.38