Finding the Third Proportional to 89,348 and 194,248

Step by Step Solution

1. Step 1: Write the proportion equation
   89,348 : 194,248 = 194,248 : x
2. Step 2: Convert to fraction form
   89,348/194,248 = 194,248/x
3. Step 3: Cross multiply
   89,348x = 194,248 × 194,248
4. Step 4: Simplify right side
   89,348x = 37,732,285,504
5. Step 5: Solve for x
   x = 37,732,285,504/89,348
6. Step 6: Final answer
   x = 422,307.00