Finding the Third Proportional to 91,314 and 185,136

Step by Step Solution

1. Step 1: Write the proportion equation
   91,314 : 185,136 = 185,136 : x
2. Step 2: Convert to fraction form
   91,314/185,136 = 185,136/x
3. Step 3: Cross multiply
   91,314x = 185,136 × 185,136
4. Step 4: Simplify right side
   91,314x = 34,275,338,496
5. Step 5: Solve for x
   x = 34,275,338,496/91,314
6. Step 6: Final answer
   x = 375,356.88