Finding the Third Proportional to 185,528 and 395,046

Step by Step Solution

1. Step 1: Write the proportion equation
   185,528 : 395,046 = 395,046 : x
2. Step 2: Convert to fraction form
   185,528/395,046 = 395,046/x
3. Step 3: Cross multiply
   185,528x = 395,046 × 395,046
4. Step 4: Simplify right side
   185,528x = 156,061,342,116
5. Step 5: Solve for x
   x = 156,061,342,116/185,528
6. Step 6: Final answer
   x = 841,174.07