Finding the Third Proportional to 88,672 and 194,589

Step by Step Solution

1. Step 1: Write the proportion equation
   88,672 : 194,589 = 194,589 : x
2. Step 2: Convert to fraction form
   88,672/194,589 = 194,589/x
3. Step 3: Cross multiply
   88,672x = 194,589 × 194,589
4. Step 4: Simplify right side
   88,672x = 37,864,878,921
5. Step 5: Solve for x
   x = 37,864,878,921/88,672
6. Step 6: Final answer
   x = 427,021.82