Finding the Third Proportional to 96,941.75 and 205,061

Step by Step Solution

1. Step 1: Write the proportion equation
   96,941.75 : 205,061 = 205,061 : x
2. Step 2: Convert to fraction form
   96,941.75/205,061 = 205,061/x
3. Step 3: Cross multiply
   96,941.75x = 205,061 × 205,061
4. Step 4: Simplify right side
   96,941.75x = 42,050,013,721
5. Step 5: Solve for x
   x = 42,050,013,721/96,941.75
6. Step 6: Final answer
   x = 433,765.78