Finding the Third Proportional to 49,588 and 74,488.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,588 : 74,488.50 = 74,488.50 : x
2. Step 2: Convert to fraction form
   49,588/74,488.50 = 74,488.50/x
3. Step 3: Cross multiply
   49,588x = 74,488.50 × 74,488.50
4. Step 4: Simplify right side
   49,588x = 5,548,536,632.25
5. Step 5: Solve for x
   x = 5,548,536,632.25/49,588
6. Step 6: Final answer
   x = 111,892.73