Finding the Third Proportional to 96,780 and 205,308

Step by Step Solution

1. Step 1: Write the proportion equation
   96,780 : 205,308 = 205,308 : x
2. Step 2: Convert to fraction form
   96,780/205,308 = 205,308/x
3. Step 3: Cross multiply
   96,780x = 205,308 × 205,308
4. Step 4: Simplify right side
   96,780x = 42,151,374,864
5. Step 5: Solve for x
   x = 42,151,374,864/96,780
6. Step 6: Final answer
   x = 435,538.07