Finding the Third Proportional to 105,026 and 156,853

Step by Step Solution

1. Step 1: Write the proportion equation
   105,026 : 156,853 = 156,853 : x
2. Step 2: Convert to fraction form
   105,026/156,853 = 156,853/x
3. Step 3: Cross multiply
   105,026x = 156,853 × 156,853
4. Step 4: Simplify right side
   105,026x = 24,602,863,609
5. Step 5: Solve for x
   x = 24,602,863,609/105,026
6. Step 6: Final answer
   x = 234,254.98