Finding the Third Proportional to 30,188 and 65,236

Step by Step Solution

1. Step 1: Write the proportion equation
   30,188 : 65,236 = 65,236 : x
2. Step 2: Convert to fraction form
   30,188/65,236 = 65,236/x
3. Step 3: Cross multiply
   30,188x = 65,236 × 65,236
4. Step 4: Simplify right side
   30,188x = 4,255,735,696
5. Step 5: Solve for x
   x = 4,255,735,696/30,188
6. Step 6: Final answer
   x = 140,974.42