Finding the Third Proportional to 89,413 and 193,345.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,413 : 193,345.50 = 193,345.50 : x
2. Step 2: Convert to fraction form
   89,413/193,345.50 = 193,345.50/x
3. Step 3: Cross multiply
   89,413x = 193,345.50 × 193,345.50
4. Step 4: Simplify right side
   89,413x = 37,382,482,370.25
5. Step 5: Solve for x
   x = 37,382,482,370.25/89,413
6. Step 6: Final answer
   x = 418,087.78