Finding the Third Proportional to 84,123 and 194,755.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,123 : 194,755.50 = 194,755.50 : x
2. Step 2: Convert to fraction form
   84,123/194,755.50 = 194,755.50/x
3. Step 3: Cross multiply
   84,123x = 194,755.50 × 194,755.50
4. Step 4: Simplify right side
   84,123x = 37,929,704,780.25
5. Step 5: Solve for x
   x = 37,929,704,780.25/84,123
6. Step 6: Final answer
   x = 450,883.88