Finding the Third Proportional to 54,378 and 118,094.63

Step by Step Solution

1. Step 1: Write the proportion equation
   54,378 : 118,094.63 = 118,094.63 : x
2. Step 2: Convert to fraction form
   54,378/118,094.63 = 118,094.63/x
3. Step 3: Cross multiply
   54,378x = 118,094.63 × 118,094.63
4. Step 4: Simplify right side
   54,378x = 13,946,340,453.89
5. Step 5: Solve for x
   x = 13,946,340,453.89/54,378
6. Step 6: Final answer
   x = 256,470.27