Finding the Third Proportional to 117,838.50 and 256,170

Step by Step Solution

1. Step 1: Write the proportion equation
   117,838.50 : 256,170 = 256,170 : x
2. Step 2: Convert to fraction form
   117,838.50/256,170 = 256,170/x
3. Step 3: Cross multiply
   117,838.50x = 256,170 × 256,170
4. Step 4: Simplify right side
   117,838.50x = 65,623,068,900
5. Step 5: Solve for x
   x = 65,623,068,900/117,838.50
6. Step 6: Final answer
   x = 556,889.89