Finding the Third Proportional to 164,389.50 and 356,967

Step by Step Solution

1. Step 1: Write the proportion equation
   164,389.50 : 356,967 = 356,967 : x
2. Step 2: Convert to fraction form
   164,389.50/356,967 = 356,967/x
3. Step 3: Cross multiply
   164,389.50x = 356,967 × 356,967
4. Step 4: Simplify right side
   164,389.50x = 127,425,439,089
5. Step 5: Solve for x
   x = 127,425,439,089/164,389.50
6. Step 6: Final answer
   x = 775,143.42