Finding the Third Proportional to 310,003.50 and 469,675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   310,003.50 : 469,675.50 = 469,675.50 : x
2. Step 2: Convert to fraction form
   310,003.50/469,675.50 = 469,675.50/x
3. Step 3: Cross multiply
   310,003.50x = 469,675.50 × 469,675.50
4. Step 4: Simplify right side
   310,003.50x = 220,595,075,300.25
5. Step 5: Solve for x
   x = 220,595,075,300.25/310,003.50
6. Step 6: Final answer
   x = 711,588.98