Finding the Third Proportional to 109,026 and 146,853

Step by Step Solution

1. Step 1: Write the proportion equation
   109,026 : 146,853 = 146,853 : x
2. Step 2: Convert to fraction form
   109,026/146,853 = 146,853/x
3. Step 3: Cross multiply
   109,026x = 146,853 × 146,853
4. Step 4: Simplify right side
   109,026x = 21,565,803,609
5. Step 5: Solve for x
   x = 21,565,803,609/109,026
6. Step 6: Final answer
   x = 197,804.23