Finding the Third Proportional to 173,786 and 380,786

Step by Step Solution

1. Step 1: Write the proportion equation
   173,786 : 380,786 = 380,786 : x
2. Step 2: Convert to fraction form
   173,786/380,786 = 380,786/x
3. Step 3: Cross multiply
   173,786x = 380,786 × 380,786
4. Step 4: Simplify right side
   173,786x = 144,997,977,796
5. Step 5: Solve for x
   x = 144,997,977,796/173,786
6. Step 6: Final answer
   x = 834,347.86