Finding the Third Proportional to 86,076 and 185,364

Step by Step Solution

1. Step 1: Write the proportion equation
   86,076 : 185,364 = 185,364 : x
2. Step 2: Convert to fraction form
   86,076/185,364 = 185,364/x
3. Step 3: Cross multiply
   86,076x = 185,364 × 185,364
4. Step 4: Simplify right side
   86,076x = 34,359,812,496
5. Step 5: Solve for x
   x = 34,359,812,496/86,076
6. Step 6: Final answer
   x = 399,179.94