Finding the Third Proportional to 85,422 and 181,354.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,422 : 181,354.50 = 181,354.50 : x
2. Step 2: Convert to fraction form
   85,422/181,354.50 = 181,354.50/x
3. Step 3: Cross multiply
   85,422x = 181,354.50 × 181,354.50
4. Step 4: Simplify right side
   85,422x = 32,889,454,670.25
5. Step 5: Solve for x
   x = 32,889,454,670.25/85,422
6. Step 6: Final answer
   x = 385,023.23