Finding the Third Proportional to 103,229 and 152,925

Step by Step Solution

1. Step 1: Write the proportion equation
   103,229 : 152,925 = 152,925 : x
2. Step 2: Convert to fraction form
   103,229/152,925 = 152,925/x
3. Step 3: Cross multiply
   103,229x = 152,925 × 152,925
4. Step 4: Simplify right side
   103,229x = 23,386,055,625
5. Step 5: Solve for x
   x = 23,386,055,625/103,229
6. Step 6: Final answer
   x = 226,545.41