Finding the Third Proportional to 179,748 and 275,076

Step by Step Solution

1. Step 1: Write the proportion equation
   179,748 : 275,076 = 275,076 : x
2. Step 2: Convert to fraction form
   179,748/275,076 = 275,076/x
3. Step 3: Cross multiply
   179,748x = 275,076 × 275,076
4. Step 4: Simplify right side
   179,748x = 75,666,805,776
5. Step 5: Solve for x
   x = 75,666,805,776/179,748
6. Step 6: Final answer
   x = 420,960.49