Finding the Third Proportional to 114,907.50 and 174,793.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,907.50 : 174,793.50 = 174,793.50 : x
2. Step 2: Convert to fraction form
   114,907.50/174,793.50 = 174,793.50/x
3. Step 3: Cross multiply
   114,907.50x = 174,793.50 × 174,793.50
4. Step 4: Simplify right side
   114,907.50x = 30,552,767,642.25
5. Step 5: Solve for x
   x = 30,552,767,642.25/114,907.50
6. Step 6: Final answer
   x = 265,890.11