Finding the Third Proportional to 173,728.50 and 377,346

Step by Step Solution

1. Step 1: Write the proportion equation
   173,728.50 : 377,346 = 377,346 : x
2. Step 2: Convert to fraction form
   173,728.50/377,346 = 377,346/x
3. Step 3: Cross multiply
   173,728.50x = 377,346 × 377,346
4. Step 4: Simplify right side
   173,728.50x = 142,390,003,716
5. Step 5: Solve for x
   x = 142,390,003,716/173,728.50
6. Step 6: Final answer
   x = 819,612.23