Finding the Third Proportional to 156,288 and 342,384

Step by Step Solution

1. Step 1: Write the proportion equation
   156,288 : 342,384 = 342,384 : x
2. Step 2: Convert to fraction form
   156,288/342,384 = 342,384/x
3. Step 3: Cross multiply
   156,288x = 342,384 × 342,384
4. Step 4: Simplify right side
   156,288x = 117,226,803,456
5. Step 5: Solve for x
   x = 117,226,803,456/156,288
6. Step 6: Final answer
   x = 750,069.13