Finding the Third Proportional to 83,178 and 181,174.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,178 : 181,174.50 = 181,174.50 : x
2. Step 2: Convert to fraction form
   83,178/181,174.50 = 181,174.50/x
3. Step 3: Cross multiply
   83,178x = 181,174.50 × 181,174.50
4. Step 4: Simplify right side
   83,178x = 32,824,199,450.25
5. Step 5: Solve for x
   x = 32,824,199,450.25/83,178
6. Step 6: Final answer
   x = 394,625.98