Finding the Third Proportional to 289,344 and 442,354.50

Step by Step Solution

1. Step 1: Write the proportion equation
   289,344 : 442,354.50 = 442,354.50 : x
2. Step 2: Convert to fraction form
   289,344/442,354.50 = 442,354.50/x
3. Step 3: Cross multiply
   289,344x = 442,354.50 × 442,354.50
4. Step 4: Simplify right side
   289,344x = 195,677,503,670.25
5. Step 5: Solve for x
   x = 195,677,503,670.25/289,344
6. Step 6: Final answer
   x = 676,279.80