Finding the Third Proportional to 72,426 and 106,046

Step by Step Solution

1. Step 1: Write the proportion equation
   72,426 : 106,046 = 106,046 : x
2. Step 2: Convert to fraction form
   72,426/106,046 = 106,046/x
3. Step 3: Cross multiply
   72,426x = 106,046 × 106,046
4. Step 4: Simplify right side
   72,426x = 11,245,754,116
5. Step 5: Solve for x
   x = 11,245,754,116/72,426
6. Step 6: Final answer
   x = 155,272.33