Finding the Third Proportional to 146,145 and 314,047

Step by Step Solution

1. Step 1: Write the proportion equation
   146,145 : 314,047 = 314,047 : x
2. Step 2: Convert to fraction form
   146,145/314,047 = 314,047/x
3. Step 3: Cross multiply
   146,145x = 314,047 × 314,047
4. Step 4: Simplify right side
   146,145x = 98,625,518,209
5. Step 5: Solve for x
   x = 98,625,518,209/146,145
6. Step 6: Final answer
   x = 674,847.02