Finding the Third Proportional to 117,593 and 256,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,593 : 256,164.50 = 256,164.50 : x
2. Step 2: Convert to fraction form
   117,593/256,164.50 = 256,164.50/x
3. Step 3: Cross multiply
   117,593x = 256,164.50 × 256,164.50
4. Step 4: Simplify right side
   117,593x = 65,620,251,060.25
5. Step 5: Solve for x
   x = 65,620,251,060.25/117,593
6. Step 6: Final answer
   x = 558,028.55