Finding the Third Proportional to 381,004.50 and 522,460.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,004.50 : 522,460.50 = 522,460.50 : x
2. Step 2: Convert to fraction form
   381,004.50/522,460.50 = 522,460.50/x
3. Step 3: Cross multiply
   381,004.50x = 522,460.50 × 522,460.50
4. Step 4: Simplify right side
   381,004.50x = 272,964,974,060.25
5. Step 5: Solve for x
   x = 272,964,974,060.25/381,004.50
6. Step 6: Final answer
   x = 716,435.04