Finding the Third Proportional to 164,054.50 and 234,597.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,054.50 : 234,597.50 = 234,597.50 : x
2. Step 2: Convert to fraction form
   164,054.50/234,597.50 = 234,597.50/x
3. Step 3: Cross multiply
   164,054.50x = 234,597.50 × 234,597.50
4. Step 4: Simplify right side
   164,054.50x = 55,035,987,006.25
5. Step 5: Solve for x
   x = 55,035,987,006.25/164,054.50
6. Step 6: Final answer
   x = 335,473.80