Finding the Third Proportional to 146,893.50 and 321,463.69

Step by Step Solution

1. Step 1: Write the proportion equation
   146,893.50 : 321,463.69 = 321,463.69 : x
2. Step 2: Convert to fraction form
   146,893.50/321,463.69 = 321,463.69/x
3. Step 3: Cross multiply
   146,893.50x = 321,463.69 × 321,463.69
4. Step 4: Simplify right side
   146,893.50x = 103,338,902,381.10
5. Step 5: Solve for x
   x = 103,338,902,381.10/146,893.50
6. Step 6: Final answer
   x = 703,495.41