Finding the Third Proportional to 181,178 and 384,280

Step by Step Solution

1. Step 1: Write the proportion equation
   181,178 : 384,280 = 384,280 : x
2. Step 2: Convert to fraction form
   181,178/384,280 = 384,280/x
3. Step 3: Cross multiply
   181,178x = 384,280 × 384,280
4. Step 4: Simplify right side
   181,178x = 147,671,118,400
5. Step 5: Solve for x
   x = 147,671,118,400/181,178
6. Step 6: Final answer
   x = 815,060.98