Finding the Third Proportional to 111,784.50 and 166,158

Step by Step Solution

1. Step 1: Write the proportion equation
   111,784.50 : 166,158 = 166,158 : x
2. Step 2: Convert to fraction form
   111,784.50/166,158 = 166,158/x
3. Step 3: Cross multiply
   111,784.50x = 166,158 × 166,158
4. Step 4: Simplify right side
   111,784.50x = 27,608,480,964
5. Step 5: Solve for x
   x = 27,608,480,964/111,784.50
6. Step 6: Final answer
   x = 246,979.51