Finding the Third Proportional to 87,778.50 and 194,538

Step by Step Solution

1. Step 1: Write the proportion equation
   87,778.50 : 194,538 = 194,538 : x
2. Step 2: Convert to fraction form
   87,778.50/194,538 = 194,538/x
3. Step 3: Cross multiply
   87,778.50x = 194,538 × 194,538
4. Step 4: Simplify right side
   87,778.50x = 37,845,033,444
5. Step 5: Solve for x
   x = 37,845,033,444/87,778.50
6. Step 6: Final answer
   x = 431,142.40