Finding the Third Proportional to 376,165 and 577,369.50

Step by Step Solution

1. Step 1: Write the proportion equation
   376,165 : 577,369.50 = 577,369.50 : x
2. Step 2: Convert to fraction form
   376,165/577,369.50 = 577,369.50/x
3. Step 3: Cross multiply
   376,165x = 577,369.50 × 577,369.50
4. Step 4: Simplify right side
   376,165x = 333,355,539,530.25
5. Step 5: Solve for x
   x = 333,355,539,530.25/376,165
6. Step 6: Final answer
   x = 886,194.99