Finding the Third Proportional to 131,896 and 194,946

Step by Step Solution

1. Step 1: Write the proportion equation
   131,896 : 194,946 = 194,946 : x
2. Step 2: Convert to fraction form
   131,896/194,946 = 194,946/x
3. Step 3: Cross multiply
   131,896x = 194,946 × 194,946
4. Step 4: Simplify right side
   131,896x = 38,003,942,916
5. Step 5: Solve for x
   x = 38,003,942,916/131,896
6. Step 6: Final answer
   x = 288,135.67