Finding the Third Proportional to 105,657.75 and 234,927

Step by Step Solution

1. Step 1: Write the proportion equation
   105,657.75 : 234,927 = 234,927 : x
2. Step 2: Convert to fraction form
   105,657.75/234,927 = 234,927/x
3. Step 3: Cross multiply
   105,657.75x = 234,927 × 234,927
4. Step 4: Simplify right side
   105,657.75x = 55,190,695,329
5. Step 5: Solve for x
   x = 55,190,695,329/105,657.75
6. Step 6: Final answer
   x = 522,353.50