Finding the Third Proportional to 258,460 and 377,665

Step by Step Solution

1. Step 1: Write the proportion equation
   258,460 : 377,665 = 377,665 : x
2. Step 2: Convert to fraction form
   258,460/377,665 = 377,665/x
3. Step 3: Cross multiply
   258,460x = 377,665 × 377,665
4. Step 4: Simplify right side
   258,460x = 142,630,852,225
5. Step 5: Solve for x
   x = 142,630,852,225/258,460
6. Step 6: Final answer
   x = 551,848.84