Finding the Third Proportional to 149,821.50 and 321,877

Step by Step Solution

1. Step 1: Write the proportion equation
   149,821.50 : 321,877 = 321,877 : x
2. Step 2: Convert to fraction form
   149,821.50/321,877 = 321,877/x
3. Step 3: Cross multiply
   149,821.50x = 321,877 × 321,877
4. Step 4: Simplify right side
   149,821.50x = 103,604,803,129
5. Step 5: Solve for x
   x = 103,604,803,129/149,821.50
6. Step 6: Final answer
   x = 691,521.60