Finding the Third Proportional to 90,624 and 193,648

Step by Step Solution

1. Step 1: Write the proportion equation
   90,624 : 193,648 = 193,648 : x
2. Step 2: Convert to fraction form
   90,624/193,648 = 193,648/x
3. Step 3: Cross multiply
   90,624x = 193,648 × 193,648
4. Step 4: Simplify right side
   90,624x = 37,499,547,904
5. Step 5: Solve for x
   x = 37,499,547,904/90,624
6. Step 6: Final answer
   x = 413,792.68