Finding the Third Proportional to 114,465 and 175,099.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,465 : 175,099.50 = 175,099.50 : x
2. Step 2: Convert to fraction form
   114,465/175,099.50 = 175,099.50/x
3. Step 3: Cross multiply
   114,465x = 175,099.50 × 175,099.50
4. Step 4: Simplify right side
   114,465x = 30,659,834,900.25
5. Step 5: Solve for x
   x = 30,659,834,900.25/114,465
6. Step 6: Final answer
   x = 267,853.36