Finding the Third Proportional to 69,166.50 and 106,819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,166.50 : 106,819.50 = 106,819.50 : x
2. Step 2: Convert to fraction form
   69,166.50/106,819.50 = 106,819.50/x
3. Step 3: Cross multiply
   69,166.50x = 106,819.50 × 106,819.50
4. Step 4: Simplify right side
   69,166.50x = 11,410,405,580.25
5. Step 5: Solve for x
   x = 11,410,405,580.25/69,166.50
6. Step 6: Final answer
   x = 164,970.12