Finding the Third Proportional to 146,111 and 314,068

Step by Step Solution

1. Step 1: Write the proportion equation
   146,111 : 314,068 = 314,068 : x
2. Step 2: Convert to fraction form
   146,111/314,068 = 314,068/x
3. Step 3: Cross multiply
   146,111x = 314,068 × 314,068
4. Step 4: Simplify right side
   146,111x = 98,638,708,624
5. Step 5: Solve for x
   x = 98,638,708,624/146,111
6. Step 6: Final answer
   x = 675,094.34