Finding the Third Proportional to 89,352 and 194,720

Step by Step Solution

1. Step 1: Write the proportion equation
   89,352 : 194,720 = 194,720 : x
2. Step 2: Convert to fraction form
   89,352/194,720 = 194,720/x
3. Step 3: Cross multiply
   89,352x = 194,720 × 194,720
4. Step 4: Simplify right side
   89,352x = 37,915,878,400
5. Step 5: Solve for x
   x = 37,915,878,400/89,352
6. Step 6: Final answer
   x = 424,342.81