Finding the Third Proportional to 381,456.84 and 577,095.89

Step by Step Solution

1. Step 1: Write the proportion equation
   381,456.84 : 577,095.89 = 577,095.89 : x
2. Step 2: Convert to fraction form
   381,456.84/577,095.89 = 577,095.89/x
3. Step 3: Cross multiply
   381,456.84x = 577,095.89 × 577,095.89
4. Step 4: Simplify right side
   381,456.84x = 333,039,666,976.26
5. Step 5: Solve for x
   x = 333,039,666,976.26/381,456.84
6. Step 6: Final answer
   x = 873,072.99