Finding the Third Proportional to 89,123.50 and 185,595.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,123.50 : 185,595.50 = 185,595.50 : x
2. Step 2: Convert to fraction form
   89,123.50/185,595.50 = 185,595.50/x
3. Step 3: Cross multiply
   89,123.50x = 185,595.50 × 185,595.50
4. Step 4: Simplify right side
   89,123.50x = 34,445,689,620.25
5. Step 5: Solve for x
   x = 34,445,689,620.25/89,123.50
6. Step 6: Final answer
   x = 386,493.91