Finding the Third Proportional to 80,115 and 185,460

Step by Step Solution

1. Step 1: Write the proportion equation
   80,115 : 185,460 = 185,460 : x
2. Step 2: Convert to fraction form
   80,115/185,460 = 185,460/x
3. Step 3: Cross multiply
   80,115x = 185,460 × 185,460
4. Step 4: Simplify right side
   80,115x = 34,395,411,600
5. Step 5: Solve for x
   x = 34,395,411,600/80,115
6. Step 6: Final answer
   x = 429,325.49