Finding the Third Proportional to 116,776 and 255,363.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,776 : 255,363.50 = 255,363.50 : x
2. Step 2: Convert to fraction form
   116,776/255,363.50 = 255,363.50/x
3. Step 3: Cross multiply
   116,776x = 255,363.50 × 255,363.50
4. Step 4: Simplify right side
   116,776x = 65,210,517,132.25
5. Step 5: Solve for x
   x = 65,210,517,132.25/116,776
6. Step 6: Final answer
   x = 558,423.97