Finding the Third Proportional to 76,381.31 and 164,408.06

Step by Step Solution

1. Step 1: Write the proportion equation
   76,381.31 : 164,408.06 = 164,408.06 : x
2. Step 2: Convert to fraction form
   76,381.31/164,408.06 = 164,408.06/x
3. Step 3: Cross multiply
   76,381.31x = 164,408.06 × 164,408.06
4. Step 4: Simplify right side
   76,381.31x = 27,030,011,015.00
5. Step 5: Solve for x
   x = 27,030,011,015.00/76,381.31
6. Step 6: Final answer
   x = 353,882.52