Finding the Third Proportional to 49,803 and 74,893.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,803 : 74,893.50 = 74,893.50 : x
2. Step 2: Convert to fraction form
   49,803/74,893.50 = 74,893.50/x
3. Step 3: Cross multiply
   49,803x = 74,893.50 × 74,893.50
4. Step 4: Simplify right side
   49,803x = 5,609,036,342.25
5. Step 5: Solve for x
   x = 5,609,036,342.25/49,803
6. Step 6: Final answer
   x = 112,624.47