Finding the Third Proportional to 137,648.25 and 304,776

Step by Step Solution

1. Step 1: Write the proportion equation
   137,648.25 : 304,776 = 304,776 : x
2. Step 2: Convert to fraction form
   137,648.25/304,776 = 304,776/x
3. Step 3: Cross multiply
   137,648.25x = 304,776 × 304,776
4. Step 4: Simplify right side
   137,648.25x = 92,888,410,176
5. Step 5: Solve for x
   x = 92,888,410,176/137,648.25
6. Step 6: Final answer
   x = 674,824.49