Finding the Third Proportional to 85,410 and 183,456

Step by Step Solution

1. Step 1: Write the proportion equation
   85,410 : 183,456 = 183,456 : x
2. Step 2: Convert to fraction form
   85,410/183,456 = 183,456/x
3. Step 3: Cross multiply
   85,410x = 183,456 × 183,456
4. Step 4: Simplify right side
   85,410x = 33,656,103,936
5. Step 5: Solve for x
   x = 33,656,103,936/85,410
6. Step 6: Final answer
   x = 394,053.44