Finding the Third Proportional to 114,522 and 173,038.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,522 : 173,038.50 = 173,038.50 : x
2. Step 2: Convert to fraction form
   114,522/173,038.50 = 173,038.50/x
3. Step 3: Cross multiply
   114,522x = 173,038.50 × 173,038.50
4. Step 4: Simplify right side
   114,522x = 29,942,322,482.25
5. Step 5: Solve for x
   x = 29,942,322,482.25/114,522
6. Step 6: Final answer
   x = 261,454.76