Finding the Third Proportional to 77,806.50 and 123,513.75

Step by Step Solution

1. Step 1: Write the proportion equation
   77,806.50 : 123,513.75 = 123,513.75 : x
2. Step 2: Convert to fraction form
   77,806.50/123,513.75 = 123,513.75/x
3. Step 3: Cross multiply
   77,806.50x = 123,513.75 × 123,513.75
4. Step 4: Simplify right side
   77,806.50x = 15,255,646,439.06
5. Step 5: Solve for x
   x = 15,255,646,439.06/77,806.50
6. Step 6: Final answer
   x = 196,071.62