Finding the Third Proportional to 68,094 and 105,682.50

Step by Step Solution

1. Step 1: Write the proportion equation
   68,094 : 105,682.50 = 105,682.50 : x
2. Step 2: Convert to fraction form
   68,094/105,682.50 = 105,682.50/x
3. Step 3: Cross multiply
   68,094x = 105,682.50 × 105,682.50
4. Step 4: Simplify right side
   68,094x = 11,168,790,806.25
5. Step 5: Solve for x
   x = 11,168,790,806.25/68,094
6. Step 6: Final answer
   x = 164,020.19