Finding the Third Proportional to 384,771 and 524,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   384,771 : 524,164.50 = 524,164.50 : x
2. Step 2: Convert to fraction form
   384,771/524,164.50 = 524,164.50/x
3. Step 3: Cross multiply
   384,771x = 524,164.50 × 524,164.50
4. Step 4: Simplify right side
   384,771x = 274,748,423,060.25
5. Step 5: Solve for x
   x = 274,748,423,060.25/384,771
6. Step 6: Final answer
   x = 714,056.99