Finding the Third Proportional to 118,543.50 and 256,770

Step by Step Solution

1. Step 1: Write the proportion equation
   118,543.50 : 256,770 = 256,770 : x
2. Step 2: Convert to fraction form
   118,543.50/256,770 = 256,770/x
3. Step 3: Cross multiply
   118,543.50x = 256,770 × 256,770
4. Step 4: Simplify right side
   118,543.50x = 65,930,832,900
5. Step 5: Solve for x
   x = 65,930,832,900/118,543.50
6. Step 6: Final answer
   x = 556,174.17