Finding the Third Proportional to 72,697 and 109,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,697 : 109,409.50 = 109,409.50 : x
2. Step 2: Convert to fraction form
   72,697/109,409.50 = 109,409.50/x
3. Step 3: Cross multiply
   72,697x = 109,409.50 × 109,409.50
4. Step 4: Simplify right side
   72,697x = 11,970,438,690.25
5. Step 5: Solve for x
   x = 11,970,438,690.25/72,697
6. Step 6: Final answer
   x = 164,662.07