Finding the Third Proportional to 91,796 and 194,624

Step by Step Solution

1. Step 1: Write the proportion equation
   91,796 : 194,624 = 194,624 : x
2. Step 2: Convert to fraction form
   91,796/194,624 = 194,624/x
3. Step 3: Cross multiply
   91,796x = 194,624 × 194,624
4. Step 4: Simplify right side
   91,796x = 37,878,501,376
5. Step 5: Solve for x
   x = 37,878,501,376/91,796
6. Step 6: Final answer
   x = 412,637.82