Finding the Third Proportional to 86,602.50 and 185,733

Step by Step Solution

1. Step 1: Write the proportion equation
   86,602.50 : 185,733 = 185,733 : x
2. Step 2: Convert to fraction form
   86,602.50/185,733 = 185,733/x
3. Step 3: Cross multiply
   86,602.50x = 185,733 × 185,733
4. Step 4: Simplify right side
   86,602.50x = 34,496,747,289
5. Step 5: Solve for x
   x = 34,496,747,289/86,602.50
6. Step 6: Final answer
   x = 398,334.31