Finding the Third Proportional to 175,513.50 and 380,004

Step by Step Solution

1. Step 1: Write the proportion equation
   175,513.50 : 380,004 = 380,004 : x
2. Step 2: Convert to fraction form
   175,513.50/380,004 = 380,004/x
3. Step 3: Cross multiply
   175,513.50x = 380,004 × 380,004
4. Step 4: Simplify right side
   175,513.50x = 144,403,040,016
5. Step 5: Solve for x
   x = 144,403,040,016/175,513.50
6. Step 6: Final answer
   x = 822,746.06