Finding the Third Proportional to 86,308 and 186,488

Step by Step Solution

1. Step 1: Write the proportion equation
   86,308 : 186,488 = 186,488 : x
2. Step 2: Convert to fraction form
   86,308/186,488 = 186,488/x
3. Step 3: Cross multiply
   86,308x = 186,488 × 186,488
4. Step 4: Simplify right side
   86,308x = 34,777,774,144
5. Step 5: Solve for x
   x = 34,777,774,144/86,308
6. Step 6: Final answer
   x = 402,949.60