Finding the Third Proportional to 216,567 and 334,696.50

Step by Step Solution

1. Step 1: Write the proportion equation
   216,567 : 334,696.50 = 334,696.50 : x
2. Step 2: Convert to fraction form
   216,567/334,696.50 = 334,696.50/x
3. Step 3: Cross multiply
   216,567x = 334,696.50 × 334,696.50
4. Step 4: Simplify right side
   216,567x = 112,021,747,112.25
5. Step 5: Solve for x
   x = 112,021,747,112.25/216,567
6. Step 6: Final answer
   x = 517,261.39