Finding the Third Proportional to 53,577 and 113,118

Step by Step Solution

1. Step 1: Write the proportion equation
   53,577 : 113,118 = 113,118 : x
2. Step 2: Convert to fraction form
   53,577/113,118 = 113,118/x
3. Step 3: Cross multiply
   53,577x = 113,118 × 113,118
4. Step 4: Simplify right side
   53,577x = 12,795,681,924
5. Step 5: Solve for x
   x = 12,795,681,924/53,577
6. Step 6: Final answer
   x = 238,827.89