Finding the Third Proportional to 65,264 and 139,062.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,264 : 139,062.50 = 139,062.50 : x
2. Step 2: Convert to fraction form
   65,264/139,062.50 = 139,062.50/x
3. Step 3: Cross multiply
   65,264x = 139,062.50 × 139,062.50
4. Step 4: Simplify right side
   65,264x = 19,338,378,906.25
5. Step 5: Solve for x
   x = 19,338,378,906.25/65,264
6. Step 6: Final answer
   x = 296,310.05