Finding the Third Proportional to 81,942 and 112,141.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,942 : 112,141.50 = 112,141.50 : x
2. Step 2: Convert to fraction form
   81,942/112,141.50 = 112,141.50/x
3. Step 3: Cross multiply
   81,942x = 112,141.50 × 112,141.50
4. Step 4: Simplify right side
   81,942x = 12,575,716,022.25
5. Step 5: Solve for x
   x = 12,575,716,022.25/81,942
6. Step 6: Final answer
   x = 153,470.94