Finding the Third Proportional to 118,342.50 and 256,521

Step by Step Solution

1. Step 1: Write the proportion equation
   118,342.50 : 256,521 = 256,521 : x
2. Step 2: Convert to fraction form
   118,342.50/256,521 = 256,521/x
3. Step 3: Cross multiply
   118,342.50x = 256,521 × 256,521
4. Step 4: Simplify right side
   118,342.50x = 65,803,023,441
5. Step 5: Solve for x
   x = 65,803,023,441/118,342.50
6. Step 6: Final answer
   x = 556,038.81