Finding the Third Proportional to 116,689 and 174,997.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,689 : 174,997.50 = 174,997.50 : x
2. Step 2: Convert to fraction form
   116,689/174,997.50 = 174,997.50/x
3. Step 3: Cross multiply
   116,689x = 174,997.50 × 174,997.50
4. Step 4: Simplify right side
   116,689x = 30,624,125,006.25
5. Step 5: Solve for x
   x = 30,624,125,006.25/116,689
6. Step 6: Final answer
   x = 262,442.26