Finding the Third Proportional to 85,469 and 182,602

Step by Step Solution

1. Step 1: Write the proportion equation
   85,469 : 182,602 = 182,602 : x
2. Step 2: Convert to fraction form
   85,469/182,602 = 182,602/x
3. Step 3: Cross multiply
   85,469x = 182,602 × 182,602
4. Step 4: Simplify right side
   85,469x = 33,343,490,404
5. Step 5: Solve for x
   x = 33,343,490,404/85,469
6. Step 6: Final answer
   x = 390,123.79