Finding the Third Proportional to 72,693 and 106,219.69

Step by Step Solution

1. Step 1: Write the proportion equation
   72,693 : 106,219.69 = 106,219.69 : x
2. Step 2: Convert to fraction form
   72,693/106,219.69 = 106,219.69/x
3. Step 3: Cross multiply
   72,693x = 106,219.69 × 106,219.69
4. Step 4: Simplify right side
   72,693x = 11,282,622,012.60
5. Step 5: Solve for x
   x = 11,282,622,012.60/72,693
6. Step 6: Final answer
   x = 155,209.20