Finding the Third Proportional to 77,985 and 111,522

Step by Step Solution

1. Step 1: Write the proportion equation
   77,985 : 111,522 = 111,522 : x
2. Step 2: Convert to fraction form
   77,985/111,522 = 111,522/x
3. Step 3: Cross multiply
   77,985x = 111,522 × 111,522
4. Step 4: Simplify right side
   77,985x = 12,437,156,484
5. Step 5: Solve for x
   x = 12,437,156,484/77,985
6. Step 6: Final answer
   x = 159,481.39