Finding the Third Proportional to 65,486 and 139,558.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,486 : 139,558.50 = 139,558.50 : x
2. Step 2: Convert to fraction form
   65,486/139,558.50 = 139,558.50/x
3. Step 3: Cross multiply
   65,486x = 139,558.50 × 139,558.50
4. Step 4: Simplify right side
   65,486x = 19,476,574,922.25
5. Step 5: Solve for x
   x = 19,476,574,922.25/65,486
6. Step 6: Final answer
   x = 297,415.86