Finding the Third Proportional to 90,264 and 193,338

Step by Step Solution

1. Step 1: Write the proportion equation
   90,264 : 193,338 = 193,338 : x
2. Step 2: Convert to fraction form
   90,264/193,338 = 193,338/x
3. Step 3: Cross multiply
   90,264x = 193,338 × 193,338
4. Step 4: Simplify right side
   90,264x = 37,379,582,244
5. Step 5: Solve for x
   x = 37,379,582,244/90,264
6. Step 6: Final answer
   x = 414,113.96