Finding the Third Proportional to 50,677.50 and 117,307.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,677.50 : 117,307.50 = 117,307.50 : x
2. Step 2: Convert to fraction form
   50,677.50/117,307.50 = 117,307.50/x
3. Step 3: Cross multiply
   50,677.50x = 117,307.50 × 117,307.50
4. Step 4: Simplify right side
   50,677.50x = 13,761,049,556.25
5. Step 5: Solve for x
   x = 13,761,049,556.25/50,677.50
6. Step 6: Final answer
   x = 271,541.60