Finding the Third Proportional to 84,645 and 178,789.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,645 : 178,789.50 = 178,789.50 : x
2. Step 2: Convert to fraction form
   84,645/178,789.50 = 178,789.50/x
3. Step 3: Cross multiply
   84,645x = 178,789.50 × 178,789.50
4. Step 4: Simplify right side
   84,645x = 31,965,685,310.25
5. Step 5: Solve for x
   x = 31,965,685,310.25/84,645
6. Step 6: Final answer
   x = 377,644.11