Finding the Third Proportional to 64,776 and 140,948

Step by Step Solution

1. Step 1: Write the proportion equation
   64,776 : 140,948 = 140,948 : x
2. Step 2: Convert to fraction form
   64,776/140,948 = 140,948/x
3. Step 3: Cross multiply
   64,776x = 140,948 × 140,948
4. Step 4: Simplify right side
   64,776x = 19,866,338,704
5. Step 5: Solve for x
   x = 19,866,338,704/64,776
6. Step 6: Final answer
   x = 306,692.89