Finding the Third Proportional to 65,835 and 139,527

Step by Step Solution

1. Step 1: Write the proportion equation
   65,835 : 139,527 = 139,527 : x
2. Step 2: Convert to fraction form
   65,835/139,527 = 139,527/x
3. Step 3: Cross multiply
   65,835x = 139,527 × 139,527
4. Step 4: Simplify right side
   65,835x = 19,467,783,729
5. Step 5: Solve for x
   x = 19,467,783,729/65,835
6. Step 6: Final answer
   x = 295,705.68