Finding the Third Proportional to 94,430 and 196,564

Step by Step Solution

1. Step 1: Write the proportion equation
   94,430 : 196,564 = 196,564 : x
2. Step 2: Convert to fraction form
   94,430/196,564 = 196,564/x
3. Step 3: Cross multiply
   94,430x = 196,564 × 196,564
4. Step 4: Simplify right side
   94,430x = 38,637,406,096
5. Step 5: Solve for x
   x = 38,637,406,096/94,430
6. Step 6: Final answer
   x = 409,164.53