Finding the Third Proportional to 49,468 and 76,506

Step by Step Solution

1. Step 1: Write the proportion equation
   49,468 : 76,506 = 76,506 : x
2. Step 2: Convert to fraction form
   49,468/76,506 = 76,506/x
3. Step 3: Cross multiply
   49,468x = 76,506 × 76,506
4. Step 4: Simplify right side
   49,468x = 5,853,168,036
5. Step 5: Solve for x
   x = 5,853,168,036/49,468
6. Step 6: Final answer
   x = 118,322.31