Finding the Third Proportional to 78,111 and 166,036.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,111 : 166,036.50 = 166,036.50 : x
2. Step 2: Convert to fraction form
   78,111/166,036.50 = 166,036.50/x
3. Step 3: Cross multiply
   78,111x = 166,036.50 × 166,036.50
4. Step 4: Simplify right side
   78,111x = 27,568,119,332.25
5. Step 5: Solve for x
   x = 27,568,119,332.25/78,111
6. Step 6: Final answer
   x = 352,935.17