Finding the Third Proportional to 132,692 and 195,123

Step by Step Solution

1. Step 1: Write the proportion equation
   132,692 : 195,123 = 195,123 : x
2. Step 2: Convert to fraction form
   132,692/195,123 = 195,123/x
3. Step 3: Cross multiply
   132,692x = 195,123 × 195,123
4. Step 4: Simplify right side
   132,692x = 38,072,985,129
5. Step 5: Solve for x
   x = 38,072,985,129/132,692
6. Step 6: Final answer
   x = 286,927.51