Finding the Third Proportional to 198,302.50 and 386,642

Step by Step Solution

1. Step 1: Write the proportion equation
   198,302.50 : 386,642 = 386,642 : x
2. Step 2: Convert to fraction form
   198,302.50/386,642 = 386,642/x
3. Step 3: Cross multiply
   198,302.50x = 386,642 × 386,642
4. Step 4: Simplify right side
   198,302.50x = 149,492,036,164
5. Step 5: Solve for x
   x = 149,492,036,164/198,302.50
6. Step 6: Final answer
   x = 753,858.56