Finding the Third Proportional to 86,056 and 185,294

Step by Step Solution

1. Step 1: Write the proportion equation
   86,056 : 185,294 = 185,294 : x
2. Step 2: Convert to fraction form
   86,056/185,294 = 185,294/x
3. Step 3: Cross multiply
   86,056x = 185,294 × 185,294
4. Step 4: Simplify right side
   86,056x = 34,333,866,436
5. Step 5: Solve for x
   x = 34,333,866,436/86,056
6. Step 6: Final answer
   x = 398,971.21