Finding the Third Proportional to 86,310 and 178,609.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,310 : 178,609.50 = 178,609.50 : x
2. Step 2: Convert to fraction form
   86,310/178,609.50 = 178,609.50/x
3. Step 3: Cross multiply
   86,310x = 178,609.50 × 178,609.50
4. Step 4: Simplify right side
   86,310x = 31,901,353,490.25
5. Step 5: Solve for x
   x = 31,901,353,490.25/86,310
6. Step 6: Final answer
   x = 369,613.64