Finding the Third Proportional to 69,921 and 111,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,921 : 111,199.50 = 111,199.50 : x
2. Step 2: Convert to fraction form
   69,921/111,199.50 = 111,199.50/x
3. Step 3: Cross multiply
   69,921x = 111,199.50 × 111,199.50
4. Step 4: Simplify right side
   69,921x = 12,365,328,800.25
5. Step 5: Solve for x
   x = 12,365,328,800.25/69,921
6. Step 6: Final answer
   x = 176,847.14