Finding the Third Proportional to 83,151.56 and 182,406.94

Step by Step Solution

1. Step 1: Write the proportion equation
   83,151.56 : 182,406.94 = 182,406.94 : x
2. Step 2: Convert to fraction form
   83,151.56/182,406.94 = 182,406.94/x
3. Step 3: Cross multiply
   83,151.56x = 182,406.94 × 182,406.94
4. Step 4: Simplify right side
   83,151.56x = 33,272,290,848.13
5. Step 5: Solve for x
   x = 33,272,290,848.13/83,151.56
6. Step 6: Final answer
   x = 400,140.30