Finding the Third Proportional to 147,933 and 314,293.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,933 : 314,293.50 = 314,293.50 : x
2. Step 2: Convert to fraction form
   147,933/314,293.50 = 314,293.50/x
3. Step 3: Cross multiply
   147,933x = 314,293.50 × 314,293.50
4. Step 4: Simplify right side
   147,933x = 98,780,404,142.25
5. Step 5: Solve for x
   x = 98,780,404,142.25/147,933
6. Step 6: Final answer
   x = 667,737.45