Finding the Third Proportional to 109,014 and 146,501

Step by Step Solution

1. Step 1: Write the proportion equation
   109,014 : 146,501 = 146,501 : x
2. Step 2: Convert to fraction form
   109,014/146,501 = 146,501/x
3. Step 3: Cross multiply
   109,014x = 146,501 × 146,501
4. Step 4: Simplify right side
   109,014x = 21,462,543,001
5. Step 5: Solve for x
   x = 21,462,543,001/109,014
6. Step 6: Final answer
   x = 196,878.78