Finding the Third Proportional to 80,463 and 112,546.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,463 : 112,546.50 = 112,546.50 : x
2. Step 2: Convert to fraction form
   80,463/112,546.50 = 112,546.50/x
3. Step 3: Cross multiply
   80,463x = 112,546.50 × 112,546.50
4. Step 4: Simplify right side
   80,463x = 12,666,714,662.25
5. Step 5: Solve for x
   x = 12,666,714,662.25/80,463
6. Step 6: Final answer
   x = 157,422.85