Finding the Third Proportional to 90,926 and 194,490

Step by Step Solution

1. Step 1: Write the proportion equation
   90,926 : 194,490 = 194,490 : x
2. Step 2: Convert to fraction form
   90,926/194,490 = 194,490/x
3. Step 3: Cross multiply
   90,926x = 194,490 × 194,490
4. Step 4: Simplify right side
   90,926x = 37,826,360,100
5. Step 5: Solve for x
   x = 37,826,360,100/90,926
6. Step 6: Final answer
   x = 416,012.58