Finding the Third Proportional to 77,808 and 123,516

Step by Step Solution

1. Step 1: Write the proportion equation
   77,808 : 123,516 = 123,516 : x
2. Step 2: Convert to fraction form
   77,808/123,516 = 123,516/x
3. Step 3: Cross multiply
   77,808x = 123,516 × 123,516
4. Step 4: Simplify right side
   77,808x = 15,256,202,256
5. Step 5: Solve for x
   x = 15,256,202,256/77,808
6. Step 6: Final answer
   x = 196,074.98