Finding the Third Proportional to 85,970 and 186,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,970 : 186,698.50 = 186,698.50 : x
2. Step 2: Convert to fraction form
   85,970/186,698.50 = 186,698.50/x
3. Step 3: Cross multiply
   85,970x = 186,698.50 × 186,698.50
4. Step 4: Simplify right side
   85,970x = 34,856,329,902.25
5. Step 5: Solve for x
   x = 34,856,329,902.25/85,970
6. Step 6: Final answer
   x = 405,447.60