Finding the Third Proportional to 182,758.78 and 272,623.22

Step by Step Solution

1. Step 1: Write the proportion equation
   182,758.78 : 272,623.22 = 272,623.22 : x
2. Step 2: Convert to fraction form
   182,758.78/272,623.22 = 272,623.22/x
3. Step 3: Cross multiply
   182,758.78x = 272,623.22 × 272,623.22
4. Step 4: Simplify right side
   182,758.78x = 74,323,419,401.61
5. Step 5: Solve for x
   x = 74,323,419,401.61/182,758.78
6. Step 6: Final answer
   x = 406,674.96