Finding the Third Proportional to 89,136 and 193,632

Step by Step Solution

1. Step 1: Write the proportion equation
   89,136 : 193,632 = 193,632 : x
2. Step 2: Convert to fraction form
   89,136/193,632 = 193,632/x
3. Step 3: Cross multiply
   89,136x = 193,632 × 193,632
4. Step 4: Simplify right side
   89,136x = 37,493,351,424
5. Step 5: Solve for x
   x = 37,493,351,424/89,136
6. Step 6: Final answer
   x = 420,630.85