Finding the Third Proportional to 89,136 and 194,264

Step by Step Solution

1. Step 1: Write the proportion equation
   89,136 : 194,264 = 194,264 : x
2. Step 2: Convert to fraction form
   89,136/194,264 = 194,264/x
3. Step 3: Cross multiply
   89,136x = 194,264 × 194,264
4. Step 4: Simplify right side
   89,136x = 37,738,501,696
5. Step 5: Solve for x
   x = 37,738,501,696/89,136
6. Step 6: Final answer
   x = 423,381.14