Finding the Third Proportional to 69,892.88 and 111,172.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,892.88 : 111,172.50 = 111,172.50 : x
2. Step 2: Convert to fraction form
   69,892.88/111,172.50 = 111,172.50/x
3. Step 3: Cross multiply
   69,892.88x = 111,172.50 × 111,172.50
4. Step 4: Simplify right side
   69,892.88x = 12,359,324,756.25
5. Step 5: Solve for x
   x = 12,359,324,756.25/69,892.88
6. Step 6: Final answer
   x = 176,832.40