Finding the Third Proportional to 78,491.50 and 166,784

Step by Step Solution

1. Step 1: Write the proportion equation
   78,491.50 : 166,784 = 166,784 : x
2. Step 2: Convert to fraction form
   78,491.50/166,784 = 166,784/x
3. Step 3: Cross multiply
   78,491.50x = 166,784 × 166,784
4. Step 4: Simplify right side
   78,491.50x = 27,816,902,656
5. Step 5: Solve for x
   x = 27,816,902,656/78,491.50
6. Step 6: Final answer
   x = 354,393.82