Finding the Third Proportional to 146,166 and 314,892

Step by Step Solution

1. Step 1: Write the proportion equation
   146,166 : 314,892 = 314,892 : x
2. Step 2: Convert to fraction form
   146,166/314,892 = 314,892/x
3. Step 3: Cross multiply
   146,166x = 314,892 × 314,892
4. Step 4: Simplify right side
   146,166x = 99,156,971,664
5. Step 5: Solve for x
   x = 99,156,971,664/146,166
6. Step 6: Final answer
   x = 678,386.02