Finding the Third Proportional to 72,769 and 108,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,769 : 108,706.50 = 108,706.50 : x
2. Step 2: Convert to fraction form
   72,769/108,706.50 = 108,706.50/x
3. Step 3: Cross multiply
   72,769x = 108,706.50 × 108,706.50
4. Step 4: Simplify right side
   72,769x = 11,817,103,142.25
5. Step 5: Solve for x
   x = 11,817,103,142.25/72,769
6. Step 6: Final answer
   x = 162,392.00