Finding the Third Proportional to 105,732 and 163,645.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,732 : 163,645.50 = 163,645.50 : x
2. Step 2: Convert to fraction form
   105,732/163,645.50 = 163,645.50/x
3. Step 3: Cross multiply
   105,732x = 163,645.50 × 163,645.50
4. Step 4: Simplify right side
   105,732x = 26,779,849,670.25
5. Step 5: Solve for x
   x = 26,779,849,670.25/105,732
6. Step 6: Final answer
   x = 253,280.46