Finding the Third Proportional to 53,136 and 116,154

Step by Step Solution

1. Step 1: Write the proportion equation
   53,136 : 116,154 = 116,154 : x
2. Step 2: Convert to fraction form
   53,136/116,154 = 116,154/x
3. Step 3: Cross multiply
   53,136x = 116,154 × 116,154
4. Step 4: Simplify right side
   53,136x = 13,491,751,716
5. Step 5: Solve for x
   x = 13,491,751,716/53,136
6. Step 6: Final answer
   x = 253,909.81