Finding the Third Proportional to 258,349.50 and 377,316

Step by Step Solution

1. Step 1: Write the proportion equation
   258,349.50 : 377,316 = 377,316 : x
2. Step 2: Convert to fraction form
   258,349.50/377,316 = 377,316/x
3. Step 3: Cross multiply
   258,349.50x = 377,316 × 377,316
4. Step 4: Simplify right side
   258,349.50x = 142,367,363,856
5. Step 5: Solve for x
   x = 142,367,363,856/258,349.50
6. Step 6: Final answer
   x = 551,064.99