Finding the Third Proportional to 77,804 and 123,510.75

Step by Step Solution

1. Step 1: Write the proportion equation
   77,804 : 123,510.75 = 123,510.75 : x
2. Step 2: Convert to fraction form
   77,804/123,510.75 = 123,510.75/x
3. Step 3: Cross multiply
   77,804x = 123,510.75 × 123,510.75
4. Step 4: Simplify right side
   77,804x = 15,254,905,365.56
5. Step 5: Solve for x
   x = 15,254,905,365.56/77,804
6. Step 6: Final answer
   x = 196,068.39