Finding the Third Proportional to 257,139,364 and 388,027,590

Step by Step Solution

1. Step 1: Write the proportion equation
   257,139,364 : 388,027,590 = 388,027,590 : x
2. Step 2: Convert to fraction form
   257,139,364/388,027,590 = 388,027,590/x
3. Step 3: Cross multiply
   257,139,364x = 388,027,590 × 388,027,590
4. Step 4: Simplify right side
   257,139,364x = 150,565,410,601,208,096
5. Step 5: Solve for x
   x = 150,565,410,601,208,096/257,139,364
6. Step 6: Final answer
   x = 585,540,106.58