Finding the Third Proportional to 194,076 and 417,676.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,076 : 417,676.50 = 417,676.50 : x
2. Step 2: Convert to fraction form
   194,076/417,676.50 = 417,676.50/x
3. Step 3: Cross multiply
   194,076x = 417,676.50 × 417,676.50
4. Step 4: Simplify right side
   194,076x = 174,453,658,652.25
5. Step 5: Solve for x
   x = 174,453,658,652.25/194,076
6. Step 6: Final answer
   x = 898,893.52