Finding the Third Proportional to 70,229 and 152,365

Step by Step Solution

1. Step 1: Write the proportion equation
   70,229 : 152,365 = 152,365 : x
2. Step 2: Convert to fraction form
   70,229/152,365 = 152,365/x
3. Step 3: Cross multiply
   70,229x = 152,365 × 152,365
4. Step 4: Simplify right side
   70,229x = 23,215,093,225
5. Step 5: Solve for x
   x = 23,215,093,225/70,229
6. Step 6: Final answer
   x = 330,562.78