Finding the Third Proportional to 76,692.50 and 157,103.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,692.50 : 157,103.50 = 157,103.50 : x
2. Step 2: Convert to fraction form
   76,692.50/157,103.50 = 157,103.50/x
3. Step 3: Cross multiply
   76,692.50x = 157,103.50 × 157,103.50
4. Step 4: Simplify right side
   76,692.50x = 24,681,509,712.25
5. Step 5: Solve for x
   x = 24,681,509,712.25/76,692.50
6. Step 6: Final answer
   x = 321,824.29