Finding the Third Proportional to 121,597 and 181,909.75

Step by Step Solution

1. Step 1: Write the proportion equation
   121,597 : 181,909.75 = 181,909.75 : x
2. Step 2: Convert to fraction form
   121,597/181,909.75 = 181,909.75/x
3. Step 3: Cross multiply
   121,597x = 181,909.75 × 181,909.75
4. Step 4: Simplify right side
   121,597x = 33,091,157,145.06
5. Step 5: Solve for x
   x = 33,091,157,145.06/121,597
6. Step 6: Final answer
   x = 272,137.94