Finding the Third Proportional to 65,529 and 140,778

Step by Step Solution

1. Step 1: Write the proportion equation
   65,529 : 140,778 = 140,778 : x
2. Step 2: Convert to fraction form
   65,529/140,778 = 140,778/x
3. Step 3: Cross multiply
   65,529x = 140,778 × 140,778
4. Step 4: Simplify right side
   65,529x = 19,818,445,284
5. Step 5: Solve for x
   x = 19,818,445,284/65,529
6. Step 6: Final answer
   x = 302,437.78