Finding the Third Proportional to 117,814.50 and 257,620.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,814.50 : 257,620.50 = 257,620.50 : x
2. Step 2: Convert to fraction form
   117,814.50/257,620.50 = 257,620.50/x
3. Step 3: Cross multiply
   117,814.50x = 257,620.50 × 257,620.50
4. Step 4: Simplify right side
   117,814.50x = 66,368,322,020.25
5. Step 5: Solve for x
   x = 66,368,322,020.25/117,814.50
6. Step 6: Final answer
   x = 563,328.98