Finding the Third Proportional to 146,128 and 314,093

Step by Step Solution

1. Step 1: Write the proportion equation
   146,128 : 314,093 = 314,093 : x
2. Step 2: Convert to fraction form
   146,128/314,093 = 314,093/x
3. Step 3: Cross multiply
   146,128x = 314,093 × 314,093
4. Step 4: Simplify right side
   146,128x = 98,654,412,649
5. Step 5: Solve for x
   x = 98,654,412,649/146,128
6. Step 6: Final answer
   x = 675,123.27