Finding the Third Proportional to 49,899 and 74,842.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,899 : 74,842.50 = 74,842.50 : x
2. Step 2: Convert to fraction form
   49,899/74,842.50 = 74,842.50/x
3. Step 3: Cross multiply
   49,899x = 74,842.50 × 74,842.50
4. Step 4: Simplify right side
   49,899x = 5,601,399,806.25
5. Step 5: Solve for x
   x = 5,601,399,806.25/49,899
6. Step 6: Final answer
   x = 112,254.75