Finding the Third Proportional to 146,186 and 314,931

Step by Step Solution

1. Step 1: Write the proportion equation
   146,186 : 314,931 = 314,931 : x
2. Step 2: Convert to fraction form
   146,186/314,931 = 314,931/x
3. Step 3: Cross multiply
   146,186x = 314,931 × 314,931
4. Step 4: Simplify right side
   146,186x = 99,181,534,761
5. Step 5: Solve for x
   x = 99,181,534,761/146,186
6. Step 6: Final answer
   x = 678,461.24