Finding the Third Proportional to 83,460 and 185,578

Step by Step Solution

1. Step 1: Write the proportion equation
   83,460 : 185,578 = 185,578 : x
2. Step 2: Convert to fraction form
   83,460/185,578 = 185,578/x
3. Step 3: Cross multiply
   83,460x = 185,578 × 185,578
4. Step 4: Simplify right side
   83,460x = 34,439,194,084
5. Step 5: Solve for x
   x = 34,439,194,084/83,460
6. Step 6: Final answer
   x = 412,643.11