Finding the Third Proportional to 81,486 and 188,791.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,486 : 188,791.50 = 188,791.50 : x
2. Step 2: Convert to fraction form
   81,486/188,791.50 = 188,791.50/x
3. Step 3: Cross multiply
   81,486x = 188,791.50 × 188,791.50
4. Step 4: Simplify right side
   81,486x = 35,642,230,472.25
5. Step 5: Solve for x
   x = 35,642,230,472.25/81,486
6. Step 6: Final answer
   x = 437,403.12