Finding the Third Proportional to 175,870 and 272,492

Step by Step Solution

1. Step 1: Write the proportion equation
   175,870 : 272,492 = 272,492 : x
2. Step 2: Convert to fraction form
   175,870/272,492 = 272,492/x
3. Step 3: Cross multiply
   175,870x = 272,492 × 272,492
4. Step 4: Simplify right side
   175,870x = 74,251,890,064
5. Step 5: Solve for x
   x = 74,251,890,064/175,870
6. Step 6: Final answer
   x = 422,197.59