Finding the Third Proportional to 53,844 and 118,384.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,844 : 118,384.50 = 118,384.50 : x
2. Step 2: Convert to fraction form
   53,844/118,384.50 = 118,384.50/x
3. Step 3: Cross multiply
   53,844x = 118,384.50 × 118,384.50
4. Step 4: Simplify right side
   53,844x = 14,014,889,840.25
5. Step 5: Solve for x
   x = 14,014,889,840.25/53,844
6. Step 6: Final answer
   x = 260,286.94