Finding the Third Proportional to 111,970 and 169,035

Step by Step Solution

1. Step 1: Write the proportion equation
   111,970 : 169,035 = 169,035 : x
2. Step 2: Convert to fraction form
   111,970/169,035 = 169,035/x
3. Step 3: Cross multiply
   111,970x = 169,035 × 169,035
4. Step 4: Simplify right side
   111,970x = 28,572,831,225
5. Step 5: Solve for x
   x = 28,572,831,225/111,970
6. Step 6: Final answer
   x = 255,182.92