Finding the Third Proportional to 89,424 and 189,509.63

Step by Step Solution

1. Step 1: Write the proportion equation
   89,424 : 189,509.63 = 189,509.63 : x
2. Step 2: Convert to fraction form
   89,424/189,509.63 = 189,509.63/x
3. Step 3: Cross multiply
   89,424x = 189,509.63 × 189,509.63
4. Step 4: Simplify right side
   89,424x = 35,913,897,967.64
5. Step 5: Solve for x
   x = 35,913,897,967.64/89,424
6. Step 6: Final answer
   x = 401,613.64