Finding the Third Proportional to 116,953 and 256,280.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,953 : 256,280.50 = 256,280.50 : x
2. Step 2: Convert to fraction form
   116,953/256,280.50 = 256,280.50/x
3. Step 3: Cross multiply
   116,953x = 256,280.50 × 256,280.50
4. Step 4: Simplify right side
   116,953x = 65,679,694,680.25
5. Step 5: Solve for x
   x = 65,679,694,680.25/116,953
6. Step 6: Final answer
   x = 561,590.51