Finding the Third Proportional to 55,396 and 117,438.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,396 : 117,438.50 = 117,438.50 : x
2. Step 2: Convert to fraction form
   55,396/117,438.50 = 117,438.50/x
3. Step 3: Cross multiply
   55,396x = 117,438.50 × 117,438.50
4. Step 4: Simplify right side
   55,396x = 13,791,801,282.25
5. Step 5: Solve for x
   x = 13,791,801,282.25/55,396
6. Step 6: Final answer
   x = 248,967.46