Finding the Third Proportional to 117,434 and 257,311.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,434 : 257,311.50 = 257,311.50 : x
2. Step 2: Convert to fraction form
   117,434/257,311.50 = 257,311.50/x
3. Step 3: Cross multiply
   117,434x = 257,311.50 × 257,311.50
4. Step 4: Simplify right side
   117,434x = 66,209,208,032.25
5. Step 5: Solve for x
   x = 66,209,208,032.25/117,434
6. Step 6: Final answer
   x = 563,799.31