Finding the Third Proportional to 83,094.19 and 181,225.69

Step by Step Solution

1. Step 1: Write the proportion equation
   83,094.19 : 181,225.69 = 181,225.69 : x
2. Step 2: Convert to fraction form
   83,094.19/181,225.69 = 181,225.69/x
3. Step 3: Cross multiply
   83,094.19x = 181,225.69 × 181,225.69
4. Step 4: Simplify right side
   83,094.19x = 32,842,749,809.85
5. Step 5: Solve for x
   x = 32,842,749,809.85/83,094.19
6. Step 6: Final answer
   x = 395,247.26