Finding the Third Proportional to 69,809.50 and 110,971.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,809.50 : 110,971.50 = 110,971.50 : x
2. Step 2: Convert to fraction form
   69,809.50/110,971.50 = 110,971.50/x
3. Step 3: Cross multiply
   69,809.50x = 110,971.50 × 110,971.50
4. Step 4: Simplify right side
   69,809.50x = 12,314,673,812.25
5. Step 5: Solve for x
   x = 12,314,673,812.25/69,809.50
6. Step 6: Final answer
   x = 176,403.98