Finding the Third Proportional to 147,116 and 314,967

Step by Step Solution

1. Step 1: Write the proportion equation
   147,116 : 314,967 = 314,967 : x
2. Step 2: Convert to fraction form
   147,116/314,967 = 314,967/x
3. Step 3: Cross multiply
   147,116x = 314,967 × 314,967
4. Step 4: Simplify right side
   147,116x = 99,204,211,089
5. Step 5: Solve for x
   x = 99,204,211,089/147,116
6. Step 6: Final answer
   x = 674,326.46