Finding the Third Proportional to 89,156 and 194,296

Step by Step Solution

1. Step 1: Write the proportion equation
   89,156 : 194,296 = 194,296 : x
2. Step 2: Convert to fraction form
   89,156/194,296 = 194,296/x
3. Step 3: Cross multiply
   89,156x = 194,296 × 194,296
4. Step 4: Simplify right side
   89,156x = 37,750,935,616
5. Step 5: Solve for x
   x = 37,750,935,616/89,156
6. Step 6: Final answer
   x = 423,425.63