Finding the Third Proportional to 105,664 and 156,749

Step by Step Solution

1. Step 1: Write the proportion equation
   105,664 : 156,749 = 156,749 : x
2. Step 2: Convert to fraction form
   105,664/156,749 = 156,749/x
3. Step 3: Cross multiply
   105,664x = 156,749 × 156,749
4. Step 4: Simplify right side
   105,664x = 24,570,249,001
5. Step 5: Solve for x
   x = 24,570,249,001/105,664
6. Step 6: Final answer
   x = 232,531.88