Finding the Third Proportional to 72,201 and 111,580.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,201 : 111,580.50 = 111,580.50 : x
2. Step 2: Convert to fraction form
   72,201/111,580.50 = 111,580.50/x
3. Step 3: Cross multiply
   72,201x = 111,580.50 × 111,580.50
4. Step 4: Simplify right side
   72,201x = 12,450,207,980.25
5. Step 5: Solve for x
   x = 12,450,207,980.25/72,201
6. Step 6: Final answer
   x = 172,438.17