Finding the Third Proportional to 333,776 and 695,164

Step by Step Solution

1. Step 1: Write the proportion equation
   333,776 : 695,164 = 695,164 : x
2. Step 2: Convert to fraction form
   333,776/695,164 = 695,164/x
3. Step 3: Cross multiply
   333,776x = 695,164 × 695,164
4. Step 4: Simplify right side
   333,776x = 483,252,986,896
5. Step 5: Solve for x
   x = 483,252,986,896/333,776
6. Step 6: Final answer
   x = 1,447,836.23