Finding the Third Proportional to 349,965 and 517,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   349,965 : 517,567.50 = 517,567.50 : x
2. Step 2: Convert to fraction form
   349,965/517,567.50 = 517,567.50/x
3. Step 3: Cross multiply
   349,965x = 517,567.50 × 517,567.50
4. Step 4: Simplify right side
   349,965x = 267,876,117,056.25
5. Step 5: Solve for x
   x = 267,876,117,056.25/349,965
6. Step 6: Final answer
   x = 765,436.88