Finding the Third Proportional to 55,691 and 117,591.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,691 : 117,591.50 = 117,591.50 : x
2. Step 2: Convert to fraction form
   55,691/117,591.50 = 117,591.50/x
3. Step 3: Cross multiply
   55,691x = 117,591.50 × 117,591.50
4. Step 4: Simplify right side
   55,691x = 13,827,760,872.25
5. Step 5: Solve for x
   x = 13,827,760,872.25/55,691
6. Step 6: Final answer
   x = 248,294.35