Finding the Third Proportional to 109,024 and 164,076

Step by Step Solution

1. Step 1: Write the proportion equation
   109,024 : 164,076 = 164,076 : x
2. Step 2: Convert to fraction form
   109,024/164,076 = 164,076/x
3. Step 3: Cross multiply
   109,024x = 164,076 × 164,076
4. Step 4: Simplify right side
   109,024x = 26,920,933,776
5. Step 5: Solve for x
   x = 26,920,933,776/109,024
6. Step 6: Final answer
   x = 246,926.67