Finding the Third Proportional to 164,263.50 and 181,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,263.50 : 181,543.50 = 181,543.50 : x
2. Step 2: Convert to fraction form
   164,263.50/181,543.50 = 181,543.50/x
3. Step 3: Cross multiply
   164,263.50x = 181,543.50 × 181,543.50
4. Step 4: Simplify right side
   164,263.50x = 32,958,042,392.25
5. Step 5: Solve for x
   x = 32,958,042,392.25/164,263.50
6. Step 6: Final answer
   x = 200,641.30