Finding the Third Proportional to 92,442 and 189,264

Step by Step Solution

1. Step 1: Write the proportion equation
   92,442 : 189,264 = 189,264 : x
2. Step 2: Convert to fraction form
   92,442/189,264 = 189,264/x
3. Step 3: Cross multiply
   92,442x = 189,264 × 189,264
4. Step 4: Simplify right side
   92,442x = 35,820,861,696
5. Step 5: Solve for x
   x = 35,820,861,696/92,442
6. Step 6: Final answer
   x = 387,495.53