Finding the Third Proportional to 90,480 and 189,208

Step by Step Solution

1. Step 1: Write the proportion equation
   90,480 : 189,208 = 189,208 : x
2. Step 2: Convert to fraction form
   90,480/189,208 = 189,208/x
3. Step 3: Cross multiply
   90,480x = 189,208 × 189,208
4. Step 4: Simplify right side
   90,480x = 35,799,667,264
5. Step 5: Solve for x
   x = 35,799,667,264/90,480
6. Step 6: Final answer
   x = 395,663.87