Finding the Third Proportional to 147,113 and 314,962

Step by Step Solution

1. Step 1: Write the proportion equation
   147,113 : 314,962 = 314,962 : x
2. Step 2: Convert to fraction form
   147,113/314,962 = 314,962/x
3. Step 3: Cross multiply
   147,113x = 314,962 × 314,962
4. Step 4: Simplify right side
   147,113x = 99,201,061,444
5. Step 5: Solve for x
   x = 99,201,061,444/147,113
6. Step 6: Final answer
   x = 674,318.80