Finding the Third Proportional to 96,871.78 and 205,267.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,871.78 : 205,267.50 = 205,267.50 : x
2. Step 2: Convert to fraction form
   96,871.78/205,267.50 = 205,267.50/x
3. Step 3: Cross multiply
   96,871.78x = 205,267.50 × 205,267.50
4. Step 4: Simplify right side
   96,871.78x = 42,134,746,556.25
5. Step 5: Solve for x
   x = 42,134,746,556.25/96,871.78
6. Step 6: Final answer
   x = 434,953.77