Finding the Third Proportional to 138,724 and 299,300

Step by Step Solution

1. Step 1: Write the proportion equation
   138,724 : 299,300 = 299,300 : x
2. Step 2: Convert to fraction form
   138,724/299,300 = 299,300/x
3. Step 3: Cross multiply
   138,724x = 299,300 × 299,300
4. Step 4: Simplify right side
   138,724x = 89,580,490,000
5. Step 5: Solve for x
   x = 89,580,490,000/138,724
6. Step 6: Final answer
   x = 645,746.16