Finding the Third Proportional to 89,789.50 and 196,407

Step by Step Solution

1. Step 1: Write the proportion equation
   89,789.50 : 196,407 = 196,407 : x
2. Step 2: Convert to fraction form
   89,789.50/196,407 = 196,407/x
3. Step 3: Cross multiply
   89,789.50x = 196,407 × 196,407
4. Step 4: Simplify right side
   89,789.50x = 38,575,709,649
5. Step 5: Solve for x
   x = 38,575,709,649/89,789.50
6. Step 6: Final answer
   x = 429,623.84