Finding the Third Proportional to 87,188 and 194,116

Step by Step Solution

1. Step 1: Write the proportion equation
   87,188 : 194,116 = 194,116 : x
2. Step 2: Convert to fraction form
   87,188/194,116 = 194,116/x
3. Step 3: Cross multiply
   87,188x = 194,116 × 194,116
4. Step 4: Simplify right side
   87,188x = 37,681,021,456
5. Step 5: Solve for x
   x = 37,681,021,456/87,188
6. Step 6: Final answer
   x = 432,181.28