Finding the Third Proportional to 267,888 and 414,427.50

Step by Step Solution

1. Step 1: Write the proportion equation
   267,888 : 414,427.50 = 414,427.50 : x
2. Step 2: Convert to fraction form
   267,888/414,427.50 = 414,427.50/x
3. Step 3: Cross multiply
   267,888x = 414,427.50 × 414,427.50
4. Step 4: Simplify right side
   267,888x = 171,750,152,756.25
5. Step 5: Solve for x
   x = 171,750,152,756.25/267,888
6. Step 6: Final answer
   x = 641,126.71