Finding the Third Proportional to 55,116 and 119,398.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,116 : 119,398.50 = 119,398.50 : x
2. Step 2: Convert to fraction form
   55,116/119,398.50 = 119,398.50/x
3. Step 3: Cross multiply
   55,116x = 119,398.50 × 119,398.50
4. Step 4: Simplify right side
   55,116x = 14,256,001,802.25
5. Step 5: Solve for x
   x = 14,256,001,802.25/55,116
6. Step 6: Final answer
   x = 258,654.51