Finding the Third Proportional to 85,056.33 and 185,677.31

Step by Step Solution

1. Step 1: Write the proportion equation
   85,056.33 : 185,677.31 = 185,677.31 : x
2. Step 2: Convert to fraction form
   85,056.33/185,677.31 = 185,677.31/x
3. Step 3: Cross multiply
   85,056.33x = 185,677.31 × 185,677.31
4. Step 4: Simplify right side
   85,056.33x = 34,476,064,377.22
5. Step 5: Solve for x
   x = 34,476,064,377.22/85,056.33
6. Step 6: Final answer
   x = 405,332.15