Finding the Third Proportional to 116,784 and 156,923

Step by Step Solution

1. Step 1: Write the proportion equation
   116,784 : 156,923 = 156,923 : x
2. Step 2: Convert to fraction form
   116,784/156,923 = 156,923/x
3. Step 3: Cross multiply
   116,784x = 156,923 × 156,923
4. Step 4: Simplify right side
   116,784x = 24,624,827,929
5. Step 5: Solve for x
   x = 24,624,827,929/116,784
6. Step 6: Final answer
   x = 210,857.89