Finding the Third Proportional to 179,384 and 380,632

Step by Step Solution

1. Step 1: Write the proportion equation
   179,384 : 380,632 = 380,632 : x
2. Step 2: Convert to fraction form
   179,384/380,632 = 380,632/x
3. Step 3: Cross multiply
   179,384x = 380,632 × 380,632
4. Step 4: Simplify right side
   179,384x = 144,880,719,424
5. Step 5: Solve for x
   x = 144,880,719,424/179,384
6. Step 6: Final answer
   x = 807,656.87