Finding the Third Proportional to 69,697.50 and 110,776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,697.50 : 110,776.50 = 110,776.50 : x
2. Step 2: Convert to fraction form
   69,697.50/110,776.50 = 110,776.50/x
3. Step 3: Cross multiply
   69,697.50x = 110,776.50 × 110,776.50
4. Step 4: Simplify right side
   69,697.50x = 12,271,432,952.25
5. Step 5: Solve for x
   x = 12,271,432,952.25/69,697.50
6. Step 6: Final answer
   x = 176,067.05