Finding the Third Proportional to 83,144 and 188,483

Step by Step Solution

1. Step 1: Write the proportion equation
   83,144 : 188,483 = 188,483 : x
2. Step 2: Convert to fraction form
   83,144/188,483 = 188,483/x
3. Step 3: Cross multiply
   83,144x = 188,483 × 188,483
4. Step 4: Simplify right side
   83,144x = 35,525,841,289
5. Step 5: Solve for x
   x = 35,525,841,289/83,144
6. Step 6: Final answer
   x = 427,280.88