Finding the Third Proportional to 105,670 and 156,759

Step by Step Solution

1. Step 1: Write the proportion equation
   105,670 : 156,759 = 156,759 : x
2. Step 2: Convert to fraction form
   105,670/156,759 = 156,759/x
3. Step 3: Cross multiply
   105,670x = 156,759 × 156,759
4. Step 4: Simplify right side
   105,670x = 24,573,384,081
5. Step 5: Solve for x
   x = 24,573,384,081/105,670
6. Step 6: Final answer
   x = 232,548.35