Finding the Third Proportional to 89,982 and 193,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,982 : 193,585.50 = 193,585.50 : x
2. Step 2: Convert to fraction form
   89,982/193,585.50 = 193,585.50/x
3. Step 3: Cross multiply
   89,982x = 193,585.50 × 193,585.50
4. Step 4: Simplify right side
   89,982x = 37,475,345,810.25
5. Step 5: Solve for x
   x = 37,475,345,810.25/89,982
6. Step 6: Final answer
   x = 416,476.03