Finding the Third Proportional to 49,314 and 80,516.25

Step by Step Solution

1. Step 1: Write the proportion equation
   49,314 : 80,516.25 = 80,516.25 : x
2. Step 2: Convert to fraction form
   49,314/80,516.25 = 80,516.25/x
3. Step 3: Cross multiply
   49,314x = 80,516.25 × 80,516.25
4. Step 4: Simplify right side
   49,314x = 6,482,866,514.06
5. Step 5: Solve for x
   x = 6,482,866,514.06/49,314
6. Step 6: Final answer
   x = 131,460.97