Finding the Third Proportional to 89,982 and 196,913.25

Step by Step Solution

1. Step 1: Write the proportion equation
   89,982 : 196,913.25 = 196,913.25 : x
2. Step 2: Convert to fraction form
   89,982/196,913.25 = 196,913.25/x
3. Step 3: Cross multiply
   89,982x = 196,913.25 × 196,913.25
4. Step 4: Simplify right side
   89,982x = 38,774,828,025.56
5. Step 5: Solve for x
   x = 38,774,828,025.56/89,982
6. Step 6: Final answer
   x = 430,917.61