Finding the Third Proportional to 117,128.50 and 256,829

Step by Step Solution

1. Step 1: Write the proportion equation
   117,128.50 : 256,829 = 256,829 : x
2. Step 2: Convert to fraction form
   117,128.50/256,829 = 256,829/x
3. Step 3: Cross multiply
   117,128.50x = 256,829 × 256,829
4. Step 4: Simplify right side
   117,128.50x = 65,961,135,241
5. Step 5: Solve for x
   x = 65,961,135,241/117,128.50
6. Step 6: Final answer
   x = 563,151.88