Finding the Third Proportional to 257,052 and 384,066

Step by Step Solution

1. Step 1: Write the proportion equation
   257,052 : 384,066 = 384,066 : x
2. Step 2: Convert to fraction form
   257,052/384,066 = 384,066/x
3. Step 3: Cross multiply
   257,052x = 384,066 × 384,066
4. Step 4: Simplify right side
   257,052x = 147,506,692,356
5. Step 5: Solve for x
   x = 147,506,692,356/257,052
6. Step 6: Final answer
   x = 573,839.89