Finding the Third Proportional to 65,265 and 139,064.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,265 : 139,064.50 = 139,064.50 : x
2. Step 2: Convert to fraction form
   65,265/139,064.50 = 139,064.50/x
3. Step 3: Cross multiply
   65,265x = 139,064.50 × 139,064.50
4. Step 4: Simplify right side
   65,265x = 19,338,935,160.25
5. Step 5: Solve for x
   x = 19,338,935,160.25/65,265
6. Step 6: Final answer
   x = 296,314.03