Finding the Third Proportional to 182,901 and 274,837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,901 : 274,837.50 = 274,837.50 : x
2. Step 2: Convert to fraction form
   182,901/274,837.50 = 274,837.50/x
3. Step 3: Cross multiply
   182,901x = 274,837.50 × 274,837.50
4. Step 4: Simplify right side
   182,901x = 75,535,651,406.25
5. Step 5: Solve for x
   x = 75,535,651,406.25/182,901
6. Step 6: Final answer
   x = 412,986.54