Finding the Third Proportional to 90,624 and 194,368

Step by Step Solution

1. Step 1: Write the proportion equation
   90,624 : 194,368 = 194,368 : x
2. Step 2: Convert to fraction form
   90,624/194,368 = 194,368/x
3. Step 3: Cross multiply
   90,624x = 194,368 × 194,368
4. Step 4: Simplify right side
   90,624x = 37,778,919,424
5. Step 5: Solve for x
   x = 37,778,919,424/90,624
6. Step 6: Final answer
   x = 416,875.44