Finding the Third Proportional to 64,834 and 152,645

Step by Step Solution

1. Step 1: Write the proportion equation
   64,834 : 152,645 = 152,645 : x
2. Step 2: Convert to fraction form
   64,834/152,645 = 152,645/x
3. Step 3: Cross multiply
   64,834x = 152,645 × 152,645
4. Step 4: Simplify right side
   64,834x = 23,300,496,025
5. Step 5: Solve for x
   x = 23,300,496,025/64,834
6. Step 6: Final answer
   x = 359,386.99