Finding the Third Proportional to 87,648 and 191,881.50

Step by Step Solution

1. Step 1: Write the proportion equation
   87,648 : 191,881.50 = 191,881.50 : x
2. Step 2: Convert to fraction form
   87,648/191,881.50 = 191,881.50/x
3. Step 3: Cross multiply
   87,648x = 191,881.50 × 191,881.50
4. Step 4: Simplify right side
   87,648x = 36,818,510,042.25
5. Step 5: Solve for x
   x = 36,818,510,042.25/87,648
6. Step 6: Final answer
   x = 420,072.45