Finding the Third Proportional to 116,500 and 252,776

Step by Step Solution

1. Step 1: Write the proportion equation
   116,500 : 252,776 = 252,776 : x
2. Step 2: Convert to fraction form
   116,500/252,776 = 252,776/x
3. Step 3: Cross multiply
   116,500x = 252,776 × 252,776
4. Step 4: Simplify right side
   116,500x = 63,895,706,176
5. Step 5: Solve for x
   x = 63,895,706,176/116,500
6. Step 6: Final answer
   x = 548,461.00