Finding the Third Proportional to 65,836 and 145,907.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,836 : 145,907.50 = 145,907.50 : x
2. Step 2: Convert to fraction form
   65,836/145,907.50 = 145,907.50/x
3. Step 3: Cross multiply
   65,836x = 145,907.50 × 145,907.50
4. Step 4: Simplify right side
   65,836x = 21,288,998,556.25
5. Step 5: Solve for x
   x = 21,288,998,556.25/65,836
6. Step 6: Final answer
   x = 323,364.09