Finding the Third Proportional to 195,934.50 and 293,142

Step by Step Solution

1. Step 1: Write the proportion equation
   195,934.50 : 293,142 = 293,142 : x
2. Step 2: Convert to fraction form
   195,934.50/293,142 = 293,142/x
3. Step 3: Cross multiply
   195,934.50x = 293,142 × 293,142
4. Step 4: Simplify right side
   195,934.50x = 85,932,232,164
5. Step 5: Solve for x
   x = 85,932,232,164/195,934.50
6. Step 6: Final answer
   x = 438,576.32