Finding the Third Proportional to 72,026 and 156,967

Step by Step Solution

1. Step 1: Write the proportion equation
   72,026 : 156,967 = 156,967 : x
2. Step 2: Convert to fraction form
   72,026/156,967 = 156,967/x
3. Step 3: Cross multiply
   72,026x = 156,967 × 156,967
4. Step 4: Simplify right side
   72,026x = 24,638,639,089
5. Step 5: Solve for x
   x = 24,638,639,089/72,026
6. Step 6: Final answer
   x = 342,079.79