Finding the Third Proportional to 106,692.50 and 229,926

Step by Step Solution

1. Step 1: Write the proportion equation
   106,692.50 : 229,926 = 229,926 : x
2. Step 2: Convert to fraction form
   106,692.50/229,926 = 229,926/x
3. Step 3: Cross multiply
   106,692.50x = 229,926 × 229,926
4. Step 4: Simplify right side
   106,692.50x = 52,865,965,476
5. Step 5: Solve for x
   x = 52,865,965,476/106,692.50
6. Step 6: Final answer
   x = 495,498.42