Finding the Third Proportional to 89,646.75 and 196,506

Step by Step Solution

1. Step 1: Write the proportion equation
   89,646.75 : 196,506 = 196,506 : x
2. Step 2: Convert to fraction form
   89,646.75/196,506 = 196,506/x
3. Step 3: Cross multiply
   89,646.75x = 196,506 × 196,506
4. Step 4: Simplify right side
   89,646.75x = 38,614,608,036
5. Step 5: Solve for x
   x = 38,614,608,036/89,646.75
6. Step 6: Final answer
   x = 430,741.86