Finding the Third Proportional to 64,836 and 152,650

Step by Step Solution

1. Step 1: Write the proportion equation
   64,836 : 152,650 = 152,650 : x
2. Step 2: Convert to fraction form
   64,836/152,650 = 152,650/x
3. Step 3: Cross multiply
   64,836x = 152,650 × 152,650
4. Step 4: Simplify right side
   64,836x = 23,302,022,500
5. Step 5: Solve for x
   x = 23,302,022,500/64,836
6. Step 6: Final answer
   x = 359,399.45