Finding the Third Proportional to 145,672 and 314,752

Step by Step Solution

1. Step 1: Write the proportion equation
   145,672 : 314,752 = 314,752 : x
2. Step 2: Convert to fraction form
   145,672/314,752 = 314,752/x
3. Step 3: Cross multiply
   145,672x = 314,752 × 314,752
4. Step 4: Simplify right side
   145,672x = 99,068,821,504
5. Step 5: Solve for x
   x = 99,068,821,504/145,672
6. Step 6: Final answer
   x = 680,081.43