Finding the Third Proportional to 101,426 and 148,383

Step by Step Solution

1. Step 1: Write the proportion equation
   101,426 : 148,383 = 148,383 : x
2. Step 2: Convert to fraction form
   101,426/148,383 = 148,383/x
3. Step 3: Cross multiply
   101,426x = 148,383 × 148,383
4. Step 4: Simplify right side
   101,426x = 22,017,514,689
5. Step 5: Solve for x
   x = 22,017,514,689/101,426
6. Step 6: Final answer
   x = 217,079.59