Finding the Third Proportional to 107,820.38 and 233,967

Step by Step Solution

1. Step 1: Write the proportion equation
   107,820.38 : 233,967 = 233,967 : x
2. Step 2: Convert to fraction form
   107,820.38/233,967 = 233,967/x
3. Step 3: Cross multiply
   107,820.38x = 233,967 × 233,967
4. Step 4: Simplify right side
   107,820.38x = 54,740,557,089
5. Step 5: Solve for x
   x = 54,740,557,089/107,820.38
6. Step 6: Final answer
   x = 507,701.42