Finding the Third Proportional to 65,506 and 142,136

Step by Step Solution

1. Step 1: Write the proportion equation
   65,506 : 142,136 = 142,136 : x
2. Step 2: Convert to fraction form
   65,506/142,136 = 142,136/x
3. Step 3: Cross multiply
   65,506x = 142,136 × 142,136
4. Step 4: Simplify right side
   65,506x = 20,202,642,496
5. Step 5: Solve for x
   x = 20,202,642,496/65,506
6. Step 6: Final answer
   x = 308,409.04