Finding the Third Proportional to 72,558 and 109,262.25

Step by Step Solution

1. Step 1: Write the proportion equation
   72,558 : 109,262.25 = 109,262.25 : x
2. Step 2: Convert to fraction form
   72,558/109,262.25 = 109,262.25/x
3. Step 3: Cross multiply
   72,558x = 109,262.25 × 109,262.25
4. Step 4: Simplify right side
   72,558x = 11,938,239,275.06
5. Step 5: Solve for x
   x = 11,938,239,275.06/72,558
6. Step 6: Final answer
   x = 164,533.74