Finding the Third Proportional to 384,882.10 and 554,404.50

Step by Step Solution

1. Step 1: Write the proportion equation
   384,882.10 : 554,404.50 = 554,404.50 : x
2. Step 2: Convert to fraction form
   384,882.10/554,404.50 = 554,404.50/x
3. Step 3: Cross multiply
   384,882.10x = 554,404.50 × 554,404.50
4. Step 4: Simplify right side
   384,882.10x = 307,364,349,620.25
5. Step 5: Solve for x
   x = 307,364,349,620.25/384,882.10
6. Step 6: Final answer
   x = 798,593.52