Finding the Third Proportional to 156,636 and 305,384

Step by Step Solution

1. Step 1: Write the proportion equation
   156,636 : 305,384 = 305,384 : x
2. Step 2: Convert to fraction form
   156,636/305,384 = 305,384/x
3. Step 3: Cross multiply
   156,636x = 305,384 × 305,384
4. Step 4: Simplify right side
   156,636x = 93,259,387,456
5. Step 5: Solve for x
   x = 93,259,387,456/156,636
6. Step 6: Final answer
   x = 595,389.23