Finding the Third Proportional to 114,606 and 175,203.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,606 : 175,203.50 = 175,203.50 : x
2. Step 2: Convert to fraction form
   114,606/175,203.50 = 175,203.50/x
3. Step 3: Cross multiply
   114,606x = 175,203.50 × 175,203.50
4. Step 4: Simplify right side
   114,606x = 30,696,266,412.25
5. Step 5: Solve for x
   x = 30,696,266,412.25/114,606
6. Step 6: Final answer
   x = 267,841.70