Finding the Third Proportional to 91,714 and 194,468

Step by Step Solution

1. Step 1: Write the proportion equation
   91,714 : 194,468 = 194,468 : x
2. Step 2: Convert to fraction form
   91,714/194,468 = 194,468/x
3. Step 3: Cross multiply
   91,714x = 194,468 × 194,468
4. Step 4: Simplify right side
   91,714x = 37,817,803,024
5. Step 5: Solve for x
   x = 37,817,803,024/91,714
6. Step 6: Final answer
   x = 412,344.93