Finding the Third Proportional to 140,738 and 299,776

Step by Step Solution

1. Step 1: Write the proportion equation
   140,738 : 299,776 = 299,776 : x
2. Step 2: Convert to fraction form
   140,738/299,776 = 299,776/x
3. Step 3: Cross multiply
   140,738x = 299,776 × 299,776
4. Step 4: Simplify right side
   140,738x = 89,865,650,176
5. Step 5: Solve for x
   x = 89,865,650,176/140,738
6. Step 6: Final answer
   x = 638,531.53