Finding the Third Proportional to 148,866 and 321,054

Step by Step Solution

1. Step 1: Write the proportion equation
   148,866 : 321,054 = 321,054 : x
2. Step 2: Convert to fraction form
   148,866/321,054 = 321,054/x
3. Step 3: Cross multiply
   148,866x = 321,054 × 321,054
4. Step 4: Simplify right side
   148,866x = 103,075,670,916
5. Step 5: Solve for x
   x = 103,075,670,916/148,866
6. Step 6: Final answer
   x = 692,405.73