Finding the Third Proportional to 146,114 and 314,074

Step by Step Solution

1. Step 1: Write the proportion equation
   146,114 : 314,074 = 314,074 : x
2. Step 2: Convert to fraction form
   146,114/314,074 = 314,074/x
3. Step 3: Cross multiply
   146,114x = 314,074 × 314,074
4. Step 4: Simplify right side
   146,114x = 98,642,477,476
5. Step 5: Solve for x
   x = 98,642,477,476/146,114
6. Step 6: Final answer
   x = 675,106.27