Finding the Third Proportional to 96,964 and 205,665

Step by Step Solution

1. Step 1: Write the proportion equation
   96,964 : 205,665 = 205,665 : x
2. Step 2: Convert to fraction form
   96,964/205,665 = 205,665/x
3. Step 3: Cross multiply
   96,964x = 205,665 × 205,665
4. Step 4: Simplify right side
   96,964x = 42,298,092,225
5. Step 5: Solve for x
   x = 42,298,092,225/96,964
6. Step 6: Final answer
   x = 436,224.70