Finding the Third Proportional to 64,658 and 100,350

Step by Step Solution

1. Step 1: Write the proportion equation
   64,658 : 100,350 = 100,350 : x
2. Step 2: Convert to fraction form
   64,658/100,350 = 100,350/x
3. Step 3: Cross multiply
   64,658x = 100,350 × 100,350
4. Step 4: Simplify right side
   64,658x = 10,070,122,500
5. Step 5: Solve for x
   x = 10,070,122,500/64,658
6. Step 6: Final answer
   x = 155,744.42