Finding the Third Proportional to 172,998 and 380,076

Step by Step Solution

1. Step 1: Write the proportion equation
   172,998 : 380,076 = 380,076 : x
2. Step 2: Convert to fraction form
   172,998/380,076 = 380,076/x
3. Step 3: Cross multiply
   172,998x = 380,076 × 380,076
4. Step 4: Simplify right side
   172,998x = 144,457,765,776
5. Step 5: Solve for x
   x = 144,457,765,776/172,998
6. Step 6: Final answer
   x = 835,025.64