Finding the Third Proportional to 53,820 and 116,712

Step by Step Solution

1. Step 1: Write the proportion equation
   53,820 : 116,712 = 116,712 : x
2. Step 2: Convert to fraction form
   53,820/116,712 = 116,712/x
3. Step 3: Cross multiply
   53,820x = 116,712 × 116,712
4. Step 4: Simplify right side
   53,820x = 13,621,690,944
5. Step 5: Solve for x
   x = 13,621,690,944/53,820
6. Step 6: Final answer
   x = 253,097.19