Finding the Third Proportional to 88,320 and 189,264

Step by Step Solution

1. Step 1: Write the proportion equation
   88,320 : 189,264 = 189,264 : x
2. Step 2: Convert to fraction form
   88,320/189,264 = 189,264/x
3. Step 3: Cross multiply
   88,320x = 189,264 × 189,264
4. Step 4: Simplify right side
   88,320x = 35,820,861,696
5. Step 5: Solve for x
   x = 35,820,861,696/88,320
6. Step 6: Final answer
   x = 405,580.41