Finding the Third Proportional to 52,832.25 and 115,848

Step by Step Solution

1. Step 1: Write the proportion equation
   52,832.25 : 115,848 = 115,848 : x
2. Step 2: Convert to fraction form
   52,832.25/115,848 = 115,848/x
3. Step 3: Cross multiply
   52,832.25x = 115,848 × 115,848
4. Step 4: Simplify right side
   52,832.25x = 13,420,759,104
5. Step 5: Solve for x
   x = 13,420,759,104/52,832.25
6. Step 6: Final answer
   x = 254,025.89