Finding the Third Proportional to 173,777.25 and 380,769

Step by Step Solution

1. Step 1: Write the proportion equation
   173,777.25 : 380,769 = 380,769 : x
2. Step 2: Convert to fraction form
   173,777.25/380,769 = 380,769/x
3. Step 3: Cross multiply
   173,777.25x = 380,769 × 380,769
4. Step 4: Simplify right side
   173,777.25x = 144,985,031,361
5. Step 5: Solve for x
   x = 144,985,031,361/173,777.25
6. Step 6: Final answer
   x = 834,315.37