Finding the Third Proportional to 85,368.50 and 185,786

Step by Step Solution

1. Step 1: Write the proportion equation
   85,368.50 : 185,786 = 185,786 : x
2. Step 2: Convert to fraction form
   85,368.50/185,786 = 185,786/x
3. Step 3: Cross multiply
   85,368.50x = 185,786 × 185,786
4. Step 4: Simplify right side
   85,368.50x = 34,516,437,796
5. Step 5: Solve for x
   x = 34,516,437,796/85,368.50
6. Step 6: Final answer
   x = 404,322.88