Finding the Third Proportional to 89,157 and 194,307

Step by Step Solution

1. Step 1: Write the proportion equation
   89,157 : 194,307 = 194,307 : x
2. Step 2: Convert to fraction form
   89,157/194,307 = 194,307/x
3. Step 3: Cross multiply
   89,157x = 194,307 × 194,307
4. Step 4: Simplify right side
   89,157x = 37,755,210,249
5. Step 5: Solve for x
   x = 37,755,210,249/89,157
6. Step 6: Final answer
   x = 423,468.83