Finding the Third Proportional to 90,632 and 193,410

Step by Step Solution

1. Step 1: Write the proportion equation
   90,632 : 193,410 = 193,410 : x
2. Step 2: Convert to fraction form
   90,632/193,410 = 193,410/x
3. Step 3: Cross multiply
   90,632x = 193,410 × 193,410
4. Step 4: Simplify right side
   90,632x = 37,407,428,100
5. Step 5: Solve for x
   x = 37,407,428,100/90,632
6. Step 6: Final answer
   x = 412,739.74