Finding the Third Proportional to 73,624 and 114,810

Step by Step Solution

1. Step 1: Write the proportion equation
   73,624 : 114,810 = 114,810 : x
2. Step 2: Convert to fraction form
   73,624/114,810 = 114,810/x
3. Step 3: Cross multiply
   73,624x = 114,810 × 114,810
4. Step 4: Simplify right side
   73,624x = 13,181,336,100
5. Step 5: Solve for x
   x = 13,181,336,100/73,624
6. Step 6: Final answer
   x = 179,035.86