Finding the Third Proportional to 89,507 and 194,992

Step by Step Solution

1. Step 1: Write the proportion equation
   89,507 : 194,992 = 194,992 : x
2. Step 2: Convert to fraction form
   89,507/194,992 = 194,992/x
3. Step 3: Cross multiply
   89,507x = 194,992 × 194,992
4. Step 4: Simplify right side
   89,507x = 38,021,880,064
5. Step 5: Solve for x
   x = 38,021,880,064/89,507
6. Step 6: Final answer
   x = 424,792.25