Finding the Third Proportional to 77,499.75 and 109,692.25

Step by Step Solution

1. Step 1: Write the proportion equation
   77,499.75 : 109,692.25 = 109,692.25 : x
2. Step 2: Convert to fraction form
   77,499.75/109,692.25 = 109,692.25/x
3. Step 3: Cross multiply
   77,499.75x = 109,692.25 × 109,692.25
4. Step 4: Simplify right side
   77,499.75x = 12,032,389,710.06
5. Step 5: Solve for x
   x = 12,032,389,710.06/77,499.75
6. Step 6: Final answer
   x = 155,257.14