Finding the Third Proportional to 86,397 and 179,689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,397 : 179,689.50 = 179,689.50 : x
2. Step 2: Convert to fraction form
   86,397/179,689.50 = 179,689.50/x
3. Step 3: Cross multiply
   86,397x = 179,689.50 × 179,689.50
4. Step 4: Simplify right side
   86,397x = 32,288,316,410.25
5. Step 5: Solve for x
   x = 32,288,316,410.25/86,397
6. Step 6: Final answer
   x = 373,720.34