Finding the Third Proportional to 139,174.50 and 310,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   139,174.50 : 310,222.50 = 310,222.50 : x
2. Step 2: Convert to fraction form
   139,174.50/310,222.50 = 310,222.50/x
3. Step 3: Cross multiply
   139,174.50x = 310,222.50 × 310,222.50
4. Step 4: Simplify right side
   139,174.50x = 96,237,999,506.25
5. Step 5: Solve for x
   x = 96,237,999,506.25/139,174.50
6. Step 6: Final answer
   x = 691,491.61