Finding the Third Proportional to 77,503 and 109,697

Step by Step Solution

1. Step 1: Write the proportion equation
   77,503 : 109,697 = 109,697 : x
2. Step 2: Convert to fraction form
   77,503/109,697 = 109,697/x
3. Step 3: Cross multiply
   77,503x = 109,697 × 109,697
4. Step 4: Simplify right side
   77,503x = 12,033,431,809
5. Step 5: Solve for x
   x = 12,033,431,809/77,503
6. Step 6: Final answer
   x = 155,264.08