Finding the Third Proportional to 264,438 and 385,580.25

Step by Step Solution

1. Step 1: Write the proportion equation
   264,438 : 385,580.25 = 385,580.25 : x
2. Step 2: Convert to fraction form
   264,438/385,580.25 = 385,580.25/x
3. Step 3: Cross multiply
   264,438x = 385,580.25 × 385,580.25
4. Step 4: Simplify right side
   264,438x = 148,672,129,190.06
5. Step 5: Solve for x
   x = 148,672,129,190.06/264,438
6. Step 6: Final answer
   x = 562,219.23