Finding the Third Proportional to 301,217 and 401,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,217 : 401,577.50 = 401,577.50 : x
2. Step 2: Convert to fraction form
   301,217/401,577.50 = 401,577.50/x
3. Step 3: Cross multiply
   301,217x = 401,577.50 × 401,577.50
4. Step 4: Simplify right side
   301,217x = 161,264,488,506.25
5. Step 5: Solve for x
   x = 161,264,488,506.25/301,217
6. Step 6: Final answer
   x = 535,376.45