Finding the Third Proportional to 65,994 and 139,830

Step by Step Solution

1. Step 1: Write the proportion equation
   65,994 : 139,830 = 139,830 : x
2. Step 2: Convert to fraction form
   65,994/139,830 = 139,830/x
3. Step 3: Cross multiply
   65,994x = 139,830 × 139,830
4. Step 4: Simplify right side
   65,994x = 19,552,428,900
5. Step 5: Solve for x
   x = 19,552,428,900/65,994
6. Step 6: Final answer
   x = 296,275.86