Finding the Third Proportional to 144,375 and 314,955

Step by Step Solution

1. Step 1: Write the proportion equation
   144,375 : 314,955 = 314,955 : x
2. Step 2: Convert to fraction form
   144,375/314,955 = 314,955/x
3. Step 3: Cross multiply
   144,375x = 314,955 × 314,955
4. Step 4: Simplify right side
   144,375x = 99,196,652,025
5. Step 5: Solve for x
   x = 99,196,652,025/144,375
6. Step 6: Final answer
   x = 687,076.38