Finding the Third Proportional to 91,704 and 140,136

Step by Step Solution

1. Step 1: Write the proportion equation
   91,704 : 140,136 = 140,136 : x
2. Step 2: Convert to fraction form
   91,704/140,136 = 140,136/x
3. Step 3: Cross multiply
   91,704x = 140,136 × 140,136
4. Step 4: Simplify right side
   91,704x = 19,638,098,496
5. Step 5: Solve for x
   x = 19,638,098,496/91,704
6. Step 6: Final answer
   x = 214,146.59