Finding the Third Proportional to 69,924 and 111,201

Step by Step Solution

1. Step 1: Write the proportion equation
   69,924 : 111,201 = 111,201 : x
2. Step 2: Convert to fraction form
   69,924/111,201 = 111,201/x
3. Step 3: Cross multiply
   69,924x = 111,201 × 111,201
4. Step 4: Simplify right side
   69,924x = 12,365,662,401
5. Step 5: Solve for x
   x = 12,365,662,401/69,924
6. Step 6: Final answer
   x = 176,844.32