Finding the Third Proportional to 85,496 and 186,724

Step by Step Solution

1. Step 1: Write the proportion equation
   85,496 : 186,724 = 186,724 : x
2. Step 2: Convert to fraction form
   85,496/186,724 = 186,724/x
3. Step 3: Cross multiply
   85,496x = 186,724 × 186,724
4. Step 4: Simplify right side
   85,496x = 34,865,852,176
5. Step 5: Solve for x
   x = 34,865,852,176/85,496
6. Step 6: Final answer
   x = 407,806.82