Finding the Third Proportional to 75,983.50 and 164,846

Step by Step Solution

1. Step 1: Write the proportion equation
   75,983.50 : 164,846 = 164,846 : x
2. Step 2: Convert to fraction form
   75,983.50/164,846 = 164,846/x
3. Step 3: Cross multiply
   75,983.50x = 164,846 × 164,846
4. Step 4: Simplify right side
   75,983.50x = 27,174,203,716
5. Step 5: Solve for x
   x = 27,174,203,716/75,983.50
6. Step 6: Final answer
   x = 357,632.96