Finding the Third Proportional to 118,322 and 256,712

Step by Step Solution

1. Step 1: Write the proportion equation
   118,322 : 256,712 = 256,712 : x
2. Step 2: Convert to fraction form
   118,322/256,712 = 256,712/x
3. Step 3: Cross multiply
   118,322x = 256,712 × 256,712
4. Step 4: Simplify right side
   118,322x = 65,901,050,944
5. Step 5: Solve for x
   x = 65,901,050,944/118,322
6. Step 6: Final answer
   x = 556,963.63