Finding the Third Proportional to 65,308 and 145,208

Step by Step Solution

1. Step 1: Write the proportion equation
   65,308 : 145,208 = 145,208 : x
2. Step 2: Convert to fraction form
   65,308/145,208 = 145,208/x
3. Step 3: Cross multiply
   65,308x = 145,208 × 145,208
4. Step 4: Simplify right side
   65,308x = 21,085,363,264
5. Step 5: Solve for x
   x = 21,085,363,264/65,308
6. Step 6: Final answer
   x = 322,860.34