Finding the Third Proportional to 114,529 and 171,264.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,529 : 171,264.50 = 171,264.50 : x
2. Step 2: Convert to fraction form
   114,529/171,264.50 = 171,264.50/x
3. Step 3: Cross multiply
   114,529x = 171,264.50 × 171,264.50
4. Step 4: Simplify right side
   114,529x = 29,331,528,960.25
5. Step 5: Solve for x
   x = 29,331,528,960.25/114,529
6. Step 6: Final answer
   x = 256,105.69