Finding the Third Proportional to 118,212 and 256,516.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,212 : 256,516.50 = 256,516.50 : x
2. Step 2: Convert to fraction form
   118,212/256,516.50 = 256,516.50/x
3. Step 3: Cross multiply
   118,212x = 256,516.50 × 256,516.50
4. Step 4: Simplify right side
   118,212x = 65,800,714,772.25
5. Step 5: Solve for x
   x = 65,800,714,772.25/118,212
6. Step 6: Final answer
   x = 556,633.12