Finding the Third Proportional to 137,663 and 304,805.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,663 : 304,805.50 = 304,805.50 : x
2. Step 2: Convert to fraction form
   137,663/304,805.50 = 304,805.50/x
3. Step 3: Cross multiply
   137,663x = 304,805.50 × 304,805.50
4. Step 4: Simplify right side
   137,663x = 92,906,392,830.25
5. Step 5: Solve for x
   x = 92,906,392,830.25/137,663
6. Step 6: Final answer
   x = 674,882.81