Finding the Third Proportional to 86,500 and 187,770

Step by Step Solution

1. Step 1: Write the proportion equation
   86,500 : 187,770 = 187,770 : x
2. Step 2: Convert to fraction form
   86,500/187,770 = 187,770/x
3. Step 3: Cross multiply
   86,500x = 187,770 × 187,770
4. Step 4: Simplify right side
   86,500x = 35,257,572,900
5. Step 5: Solve for x
   x = 35,257,572,900/86,500
6. Step 6: Final answer
   x = 407,602.00