Finding the Third Proportional to 121,584 and 181,889.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,584 : 181,889.50 = 181,889.50 : x
2. Step 2: Convert to fraction form
   121,584/181,889.50 = 181,889.50/x
3. Step 3: Cross multiply
   121,584x = 181,889.50 × 181,889.50
4. Step 4: Simplify right side
   121,584x = 33,083,790,210.25
5. Step 5: Solve for x
   x = 33,083,790,210.25/121,584
6. Step 6: Final answer
   x = 272,106.45