Finding the Third Proportional to 69,799 and 111,173.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,799 : 111,173.50 = 111,173.50 : x
2. Step 2: Convert to fraction form
   69,799/111,173.50 = 111,173.50/x
3. Step 3: Cross multiply
   69,799x = 111,173.50 × 111,173.50
4. Step 4: Simplify right side
   69,799x = 12,359,547,102.25
5. Step 5: Solve for x
   x = 12,359,547,102.25/69,799
6. Step 6: Final answer
   x = 177,073.41