Finding the Third Proportional to 146,152 and 314,062

Step by Step Solution

1. Step 1: Write the proportion equation
   146,152 : 314,062 = 314,062 : x
2. Step 2: Convert to fraction form
   146,152/314,062 = 314,062/x
3. Step 3: Cross multiply
   146,152x = 314,062 × 314,062
4. Step 4: Simplify right side
   146,152x = 98,634,939,844
5. Step 5: Solve for x
   x = 98,634,939,844/146,152
6. Step 6: Final answer
   x = 674,879.17