Finding the Third Proportional to 109,165.50 and 238,697.25

Step by Step Solution

1. Step 1: Write the proportion equation
   109,165.50 : 238,697.25 = 238,697.25 : x
2. Step 2: Convert to fraction form
   109,165.50/238,697.25 = 238,697.25/x
3. Step 3: Cross multiply
   109,165.50x = 238,697.25 × 238,697.25
4. Step 4: Simplify right side
   109,165.50x = 56,976,377,157.56
5. Step 5: Solve for x
   x = 56,976,377,157.56/109,165.50
6. Step 6: Final answer
   x = 521,926.59