Finding the Third Proportional to 137,648.50 and 304,776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,648.50 : 304,776.50 = 304,776.50 : x
2. Step 2: Convert to fraction form
   137,648.50/304,776.50 = 304,776.50/x
3. Step 3: Cross multiply
   137,648.50x = 304,776.50 × 304,776.50
4. Step 4: Simplify right side
   137,648.50x = 92,888,714,952.25
5. Step 5: Solve for x
   x = 92,888,714,952.25/137,648.50
6. Step 6: Final answer
   x = 674,825.48