Finding the Third Proportional to 73,792.50 and 110,666.50

Step by Step Solution

1. Step 1: Write the proportion equation
   73,792.50 : 110,666.50 = 110,666.50 : x
2. Step 2: Convert to fraction form
   73,792.50/110,666.50 = 110,666.50/x
3. Step 3: Cross multiply
   73,792.50x = 110,666.50 × 110,666.50
4. Step 4: Simplify right side
   73,792.50x = 12,247,074,222.25
5. Step 5: Solve for x
   x = 12,247,074,222.25/73,792.50
6. Step 6: Final answer
   x = 165,966.38