Finding the Third Proportional to 77,803.50 and 123,509.25

Step by Step Solution

1. Step 1: Write the proportion equation
   77,803.50 : 123,509.25 = 123,509.25 : x
2. Step 2: Convert to fraction form
   77,803.50/123,509.25 = 123,509.25/x
3. Step 3: Cross multiply
   77,803.50x = 123,509.25 × 123,509.25
4. Step 4: Simplify right side
   77,803.50x = 15,254,534,835.56
5. Step 5: Solve for x
   x = 15,254,534,835.56/77,803.50
6. Step 6: Final answer
   x = 196,064.89