Finding the Third Proportional to 177,376.50 and 380,997

Step by Step Solution

1. Step 1: Write the proportion equation
   177,376.50 : 380,997 = 380,997 : x
2. Step 2: Convert to fraction form
   177,376.50/380,997 = 380,997/x
3. Step 3: Cross multiply
   177,376.50x = 380,997 × 380,997
4. Step 4: Simplify right side
   177,376.50x = 145,158,714,009
5. Step 5: Solve for x
   x = 145,158,714,009/177,376.50
6. Step 6: Final answer
   x = 818,364.97