Finding the Third Proportional to 89,577.77 and 194,100.05

Step by Step Solution

1. Step 1: Write the proportion equation
   89,577.77 : 194,100.05 = 194,100.05 : x
2. Step 2: Convert to fraction form
   89,577.77/194,100.05 = 194,100.05/x
3. Step 3: Cross multiply
   89,577.77x = 194,100.05 × 194,100.05
4. Step 4: Simplify right side
   89,577.77x = 37,674,828,196.88
5. Step 5: Solve for x
   x = 37,674,828,196.88/89,577.77
6. Step 6: Final answer
   x = 420,582.32