Finding the Third Proportional to 89,964 and 194,832

Step by Step Solution

1. Step 1: Write the proportion equation
   89,964 : 194,832 = 194,832 : x
2. Step 2: Convert to fraction form
   89,964/194,832 = 194,832/x
3. Step 3: Cross multiply
   89,964x = 194,832 × 194,832
4. Step 4: Simplify right side
   89,964x = 37,959,508,224
5. Step 5: Solve for x
   x = 37,959,508,224/89,964
6. Step 6: Final answer
   x = 421,941.09