Finding the Third Proportional to 146,080 and 314,672

Step by Step Solution

1. Step 1: Write the proportion equation
   146,080 : 314,672 = 314,672 : x
2. Step 2: Convert to fraction form
   146,080/314,672 = 314,672/x
3. Step 3: Cross multiply
   146,080x = 314,672 × 314,672
4. Step 4: Simplify right side
   146,080x = 99,018,467,584
5. Step 5: Solve for x
   x = 99,018,467,584/146,080
6. Step 6: Final answer
   x = 677,837.26