Finding the Third Proportional to 116,643 and 176,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,643 : 176,584.50 = 176,584.50 : x
2. Step 2: Convert to fraction form
   116,643/176,584.50 = 176,584.50/x
3. Step 3: Cross multiply
   116,643x = 176,584.50 × 176,584.50
4. Step 4: Simplify right side
   116,643x = 31,182,085,640.25
5. Step 5: Solve for x
   x = 31,182,085,640.25/116,643
6. Step 6: Final answer
   x = 267,329.25