Finding the Third Proportional to 55,476 and 116,784

Step by Step Solution

1. Step 1: Write the proportion equation
   55,476 : 116,784 = 116,784 : x
2. Step 2: Convert to fraction form
   55,476/116,784 = 116,784/x
3. Step 3: Cross multiply
   55,476x = 116,784 × 116,784
4. Step 4: Simplify right side
   55,476x = 13,638,502,656
5. Step 5: Solve for x
   x = 13,638,502,656/55,476
6. Step 6: Final answer
   x = 245,845.10