Finding the Third Proportional to 65,412 and 139,536

Step by Step Solution

1. Step 1: Write the proportion equation
   65,412 : 139,536 = 139,536 : x
2. Step 2: Convert to fraction form
   65,412/139,536 = 139,536/x
3. Step 3: Cross multiply
   65,412x = 139,536 × 139,536
4. Step 4: Simplify right side
   65,412x = 19,470,295,296
5. Step 5: Solve for x
   x = 19,470,295,296/65,412
6. Step 6: Final answer
   x = 297,656.32