Finding the Third Proportional to 89,647.50 and 195,066

Step by Step Solution

1. Step 1: Write the proportion equation
   89,647.50 : 195,066 = 195,066 : x
2. Step 2: Convert to fraction form
   89,647.50/195,066 = 195,066/x
3. Step 3: Cross multiply
   89,647.50x = 195,066 × 195,066
4. Step 4: Simplify right side
   89,647.50x = 38,050,744,356
5. Step 5: Solve for x
   x = 38,050,744,356/89,647.50
6. Step 6: Final answer
   x = 424,448.47