Finding the Third Proportional to 109,624 and 173,424

Step by Step Solution

1. Step 1: Write the proportion equation
   109,624 : 173,424 = 173,424 : x
2. Step 2: Convert to fraction form
   109,624/173,424 = 173,424/x
3. Step 3: Cross multiply
   109,624x = 173,424 × 173,424
4. Step 4: Simplify right side
   109,624x = 30,075,883,776
5. Step 5: Solve for x
   x = 30,075,883,776/109,624
6. Step 6: Final answer
   x = 274,354.92