Finding the Third Proportional to 156,424 and 340,784

Step by Step Solution

1. Step 1: Write the proportion equation
   156,424 : 340,784 = 340,784 : x
2. Step 2: Convert to fraction form
   156,424/340,784 = 340,784/x
3. Step 3: Cross multiply
   156,424x = 340,784 × 340,784
4. Step 4: Simplify right side
   156,424x = 116,133,734,656
5. Step 5: Solve for x
   x = 116,133,734,656/156,424
6. Step 6: Final answer
   x = 742,429.13