Finding the Third Proportional to 52,144 and 114,136

Step by Step Solution

1. Step 1: Write the proportion equation
   52,144 : 114,136 = 114,136 : x
2. Step 2: Convert to fraction form
   52,144/114,136 = 114,136/x
3. Step 3: Cross multiply
   52,144x = 114,136 × 114,136
4. Step 4: Simplify right side
   52,144x = 13,027,026,496
5. Step 5: Solve for x
   x = 13,027,026,496/52,144
6. Step 6: Final answer
   x = 249,827.91