Finding the Third Proportional to 68,838 and 104,566.50

Step by Step Solution

1. Step 1: Write the proportion equation
   68,838 : 104,566.50 = 104,566.50 : x
2. Step 2: Convert to fraction form
   68,838/104,566.50 = 104,566.50/x
3. Step 3: Cross multiply
   68,838x = 104,566.50 × 104,566.50
4. Step 4: Simplify right side
   68,838x = 10,934,152,922.25
5. Step 5: Solve for x
   x = 10,934,152,922.25/68,838
6. Step 6: Final answer
   x = 158,838.91