Finding the Third Proportional to 85,706 and 186,153.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,706 : 186,153.50 = 186,153.50 : x
2. Step 2: Convert to fraction form
   85,706/186,153.50 = 186,153.50/x
3. Step 3: Cross multiply
   85,706x = 186,153.50 × 186,153.50
4. Step 4: Simplify right side
   85,706x = 34,653,125,562.25
5. Step 5: Solve for x
   x = 34,653,125,562.25/85,706
6. Step 6: Final answer
   x = 404,325.55