Finding the Third Proportional to 116,664 and 254,712

Step by Step Solution

1. Step 1: Write the proportion equation
   116,664 : 254,712 = 254,712 : x
2. Step 2: Convert to fraction form
   116,664/254,712 = 254,712/x
3. Step 3: Cross multiply
   116,664x = 254,712 × 254,712
4. Step 4: Simplify right side
   116,664x = 64,878,202,944
5. Step 5: Solve for x
   x = 64,878,202,944/116,664
6. Step 6: Final answer
   x = 556,111.59