Finding the Third Proportional to 49,859 and 74,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,859 : 74,822.50 = 74,822.50 : x
2. Step 2: Convert to fraction form
   49,859/74,822.50 = 74,822.50/x
3. Step 3: Cross multiply
   49,859x = 74,822.50 × 74,822.50
4. Step 4: Simplify right side
   49,859x = 5,598,406,506.25
5. Step 5: Solve for x
   x = 5,598,406,506.25/49,859
6. Step 6: Final answer
   x = 112,284.77