Finding the Third Proportional to 72,580.50 and 109,967.25

Step by Step Solution

1. Step 1: Write the proportion equation
   72,580.50 : 109,967.25 = 109,967.25 : x
2. Step 2: Convert to fraction form
   72,580.50/109,967.25 = 109,967.25/x
3. Step 3: Cross multiply
   72,580.50x = 109,967.25 × 109,967.25
4. Step 4: Simplify right side
   72,580.50x = 12,092,796,072.56
5. Step 5: Solve for x
   x = 12,092,796,072.56/72,580.50
6. Step 6: Final answer
   x = 166,612.19