Finding the Third Proportional to 117,989 and 256,711.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,989 : 256,711.50 = 256,711.50 : x
2. Step 2: Convert to fraction form
   117,989/256,711.50 = 256,711.50/x
3. Step 3: Cross multiply
   117,989x = 256,711.50 × 256,711.50
4. Step 4: Simplify right side
   117,989x = 65,900,794,232.25
5. Step 5: Solve for x
   x = 65,900,794,232.25/117,989
6. Step 6: Final answer
   x = 558,533.37