Finding the Third Proportional to 89,476 and 194,934

Step by Step Solution

1. Step 1: Write the proportion equation
   89,476 : 194,934 = 194,934 : x
2. Step 2: Convert to fraction form
   89,476/194,934 = 194,934/x
3. Step 3: Cross multiply
   89,476x = 194,934 × 194,934
4. Step 4: Simplify right side
   89,476x = 37,999,264,356
5. Step 5: Solve for x
   x = 37,999,264,356/89,476
6. Step 6: Final answer
   x = 424,686.67