Finding the Third Proportional to 379,922.25 and 577,716

Step by Step Solution

1. Step 1: Write the proportion equation
   379,922.25 : 577,716 = 577,716 : x
2. Step 2: Convert to fraction form
   379,922.25/577,716 = 577,716/x
3. Step 3: Cross multiply
   379,922.25x = 577,716 × 577,716
4. Step 4: Simplify right side
   379,922.25x = 333,755,776,656
5. Step 5: Solve for x
   x = 333,755,776,656/379,922.25
6. Step 6: Final answer
   x = 878,484.42