Finding the Third Proportional to 114,152.50 and 181,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,152.50 : 181,799.50 = 181,799.50 : x
2. Step 2: Convert to fraction form
   114,152.50/181,799.50 = 181,799.50/x
3. Step 3: Cross multiply
   114,152.50x = 181,799.50 × 181,799.50
4. Step 4: Simplify right side
   114,152.50x = 33,051,058,200.25
5. Step 5: Solve for x
   x = 33,051,058,200.25/114,152.50
6. Step 6: Final answer
   x = 289,534.25