Finding the Third Proportional to 89,534 and 194,884

Step by Step Solution

1. Step 1: Write the proportion equation
   89,534 : 194,884 = 194,884 : x
2. Step 2: Convert to fraction form
   89,534/194,884 = 194,884/x
3. Step 3: Cross multiply
   89,534x = 194,884 × 194,884
4. Step 4: Simplify right side
   89,534x = 37,979,773,456
5. Step 5: Solve for x
   x = 37,979,773,456/89,534
6. Step 6: Final answer
   x = 424,193.86