Finding the Third Proportional to 96,921 and 205,348.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,921 : 205,348.50 = 205,348.50 : x
2. Step 2: Convert to fraction form
   96,921/205,348.50 = 205,348.50/x
3. Step 3: Cross multiply
   96,921x = 205,348.50 × 205,348.50
4. Step 4: Simplify right side
   96,921x = 42,168,006,452.25
5. Step 5: Solve for x
   x = 42,168,006,452.25/96,921
6. Step 6: Final answer
   x = 435,076.06