Finding the Third Proportional to 113,429 and 174,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,429 : 174,109.50 = 174,109.50 : x
2. Step 2: Convert to fraction form
   113,429/174,109.50 = 174,109.50/x
3. Step 3: Cross multiply
   113,429x = 174,109.50 × 174,109.50
4. Step 4: Simplify right side
   113,429x = 30,314,117,990.25
5. Step 5: Solve for x
   x = 30,314,117,990.25/113,429
6. Step 6: Final answer
   x = 267,251.92