Finding the Third Proportional to 149,901 and 319,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   149,901 : 319,222.50 = 319,222.50 : x
2. Step 2: Convert to fraction form
   149,901/319,222.50 = 319,222.50/x
3. Step 3: Cross multiply
   149,901x = 319,222.50 × 319,222.50
4. Step 4: Simplify right side
   149,901x = 101,903,004,506.25
5. Step 5: Solve for x
   x = 101,903,004,506.25/149,901
6. Step 6: Final answer
   x = 679,802.03