Finding the Third Proportional to 118,213 and 256,520

Step by Step Solution

1. Step 1: Write the proportion equation
   118,213 : 256,520 = 256,520 : x
2. Step 2: Convert to fraction form
   118,213/256,520 = 256,520/x
3. Step 3: Cross multiply
   118,213x = 256,520 × 256,520
4. Step 4: Simplify right side
   118,213x = 65,802,510,400
5. Step 5: Solve for x
   x = 65,802,510,400/118,213
6. Step 6: Final answer
   x = 556,643.60