Finding the Third Proportional to 106,880 and 169,232.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,880 : 169,232.50 = 169,232.50 : x
2. Step 2: Convert to fraction form
   106,880/169,232.50 = 169,232.50/x
3. Step 3: Cross multiply
   106,880x = 169,232.50 × 169,232.50
4. Step 4: Simplify right side
   106,880x = 28,639,639,056.25
5. Step 5: Solve for x
   x = 28,639,639,056.25/106,880
6. Step 6: Final answer
   x = 267,960.69