Finding the Third Proportional to 86,427 and 179,752.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,427 : 179,752.50 = 179,752.50 : x
2. Step 2: Convert to fraction form
   86,427/179,752.50 = 179,752.50/x
3. Step 3: Cross multiply
   86,427x = 179,752.50 × 179,752.50
4. Step 4: Simplify right side
   86,427x = 32,310,961,256.25
5. Step 5: Solve for x
   x = 32,310,961,256.25/86,427
6. Step 6: Final answer
   x = 373,852.63