Finding the Third Proportional to 145,900 and 314,120

Step by Step Solution

1. Step 1: Write the proportion equation
   145,900 : 314,120 = 314,120 : x
2. Step 2: Convert to fraction form
   145,900/314,120 = 314,120/x
3. Step 3: Cross multiply
   145,900x = 314,120 × 314,120
4. Step 4: Simplify right side
   145,900x = 98,671,374,400
5. Step 5: Solve for x
   x = 98,671,374,400/145,900
6. Step 6: Final answer
   x = 676,294.55