Finding the Third Proportional to 64,814 and 105,835

Step by Step Solution

1. Step 1: Write the proportion equation
   64,814 : 105,835 = 105,835 : x
2. Step 2: Convert to fraction form
   64,814/105,835 = 105,835/x
3. Step 3: Cross multiply
   64,814x = 105,835 × 105,835
4. Step 4: Simplify right side
   64,814x = 11,201,047,225
5. Step 5: Solve for x
   x = 11,201,047,225/64,814
6. Step 6: Final answer
   x = 172,818.33