Finding the Third Proportional to 156,123 and 340,533

Step by Step Solution

1. Step 1: Write the proportion equation
   156,123 : 340,533 = 340,533 : x
2. Step 2: Convert to fraction form
   156,123/340,533 = 340,533/x
3. Step 3: Cross multiply
   156,123x = 340,533 × 340,533
4. Step 4: Simplify right side
   156,123x = 115,962,724,089
5. Step 5: Solve for x
   x = 115,962,724,089/156,123
6. Step 6: Final answer
   x = 742,765.15