Finding the Third Proportional to 86,502 and 191,791.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,502 : 191,791.50 = 191,791.50 : x
2. Step 2: Convert to fraction form
   86,502/191,791.50 = 191,791.50/x
3. Step 3: Cross multiply
   86,502x = 191,791.50 × 191,791.50
4. Step 4: Simplify right side
   86,502x = 36,783,979,472.25
5. Step 5: Solve for x
   x = 36,783,979,472.25/86,502
6. Step 6: Final answer
   x = 425,238.49