Finding the Third Proportional to 266,724 and 377,401.50

Step by Step Solution

1. Step 1: Write the proportion equation
   266,724 : 377,401.50 = 377,401.50 : x
2. Step 2: Convert to fraction form
   266,724/377,401.50 = 377,401.50/x
3. Step 3: Cross multiply
   266,724x = 377,401.50 × 377,401.50
4. Step 4: Simplify right side
   266,724x = 142,431,892,202.25
5. Step 5: Solve for x
   x = 142,431,892,202.25/266,724
6. Step 6: Final answer
   x = 534,004.78