Finding the Third Proportional to 114,528 and 173,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,528 : 173,047.50 = 173,047.50 : x
2. Step 2: Convert to fraction form
   114,528/173,047.50 = 173,047.50/x
3. Step 3: Cross multiply
   114,528x = 173,047.50 × 173,047.50
4. Step 4: Simplify right side
   114,528x = 29,945,437,256.25
5. Step 5: Solve for x
   x = 29,945,437,256.25/114,528
6. Step 6: Final answer
   x = 261,468.26