Finding the Third Proportional to 78,038 and 111,522

Step by Step Solution

1. Step 1: Write the proportion equation
   78,038 : 111,522 = 111,522 : x
2. Step 2: Convert to fraction form
   78,038/111,522 = 111,522/x
3. Step 3: Cross multiply
   78,038x = 111,522 × 111,522
4. Step 4: Simplify right side
   78,038x = 12,437,156,484
5. Step 5: Solve for x
   x = 12,437,156,484/78,038
6. Step 6: Final answer
   x = 159,373.08