Finding the Third Proportional to 301,938 and 469,675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,938 : 469,675.50 = 469,675.50 : x
2. Step 2: Convert to fraction form
   301,938/469,675.50 = 469,675.50/x
3. Step 3: Cross multiply
   301,938x = 469,675.50 × 469,675.50
4. Step 4: Simplify right side
   301,938x = 220,595,075,300.25
5. Step 5: Solve for x
   x = 220,595,075,300.25/301,938
6. Step 6: Final answer
   x = 730,597.26