Finding the Third Proportional to 86,054 and 186,410

Step by Step Solution

1. Step 1: Write the proportion equation
   86,054 : 186,410 = 186,410 : x
2. Step 2: Convert to fraction form
   86,054/186,410 = 186,410/x
3. Step 3: Cross multiply
   86,054x = 186,410 × 186,410
4. Step 4: Simplify right side
   86,054x = 34,748,688,100
5. Step 5: Solve for x
   x = 34,748,688,100/86,054
6. Step 6: Final answer
   x = 403,800.96