Finding the Third Proportional to 111,580 and 156,066

Step by Step Solution

1. Step 1: Write the proportion equation
   111,580 : 156,066 = 156,066 : x
2. Step 2: Convert to fraction form
   111,580/156,066 = 156,066/x
3. Step 3: Cross multiply
   111,580x = 156,066 × 156,066
4. Step 4: Simplify right side
   111,580x = 24,356,596,356
5. Step 5: Solve for x
   x = 24,356,596,356/111,580
6. Step 6: Final answer
   x = 218,288.19