Finding the Third Proportional to 106,691.50 and 229,924

Step by Step Solution

1. Step 1: Write the proportion equation
   106,691.50 : 229,924 = 229,924 : x
2. Step 2: Convert to fraction form
   106,691.50/229,924 = 229,924/x
3. Step 3: Cross multiply
   106,691.50x = 229,924 × 229,924
4. Step 4: Simplify right side
   106,691.50x = 52,865,045,776
5. Step 5: Solve for x
   x = 52,865,045,776/106,691.50
6. Step 6: Final answer
   x = 495,494.45