Finding the Third Proportional to 64,854 and 152,496

Step by Step Solution

1. Step 1: Write the proportion equation
   64,854 : 152,496 = 152,496 : x
2. Step 2: Convert to fraction form
   64,854/152,496 = 152,496/x
3. Step 3: Cross multiply
   64,854x = 152,496 × 152,496
4. Step 4: Simplify right side
   64,854x = 23,255,030,016
5. Step 5: Solve for x
   x = 23,255,030,016/64,854
6. Step 6: Final answer
   x = 358,575.11