Finding the Third Proportional to 89,964 and 192,384.75

Step by Step Solution

1. Step 1: Write the proportion equation
   89,964 : 192,384.75 = 192,384.75 : x
2. Step 2: Convert to fraction form
   89,964/192,384.75 = 192,384.75/x
3. Step 3: Cross multiply
   89,964x = 192,384.75 × 192,384.75
4. Step 4: Simplify right side
   89,964x = 37,011,892,032.56
5. Step 5: Solve for x
   x = 37,011,892,032.56/89,964
6. Step 6: Final answer
   x = 411,407.81