Finding the Third Proportional to 85,738 and 185,786

Step by Step Solution

1. Step 1: Write the proportion equation
   85,738 : 185,786 = 185,786 : x
2. Step 2: Convert to fraction form
   85,738/185,786 = 185,786/x
3. Step 3: Cross multiply
   85,738x = 185,786 × 185,786
4. Step 4: Simplify right side
   85,738x = 34,516,437,796
5. Step 5: Solve for x
   x = 34,516,437,796/85,738
6. Step 6: Final answer
   x = 402,580.39