Finding the Third Proportional to 116,916 and 252,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,916 : 252,514.50 = 252,514.50 : x
2. Step 2: Convert to fraction form
   116,916/252,514.50 = 252,514.50/x
3. Step 3: Cross multiply
   116,916x = 252,514.50 × 252,514.50
4. Step 4: Simplify right side
   116,916x = 63,763,572,710.25
5. Step 5: Solve for x
   x = 63,763,572,710.25/116,916
6. Step 6: Final answer
   x = 545,379.36