Finding the Third Proportional to 49,095 and 74,194.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,095 : 74,194.50 = 74,194.50 : x
2. Step 2: Convert to fraction form
   49,095/74,194.50 = 74,194.50/x
3. Step 3: Cross multiply
   49,095x = 74,194.50 × 74,194.50
4. Step 4: Simplify right side
   49,095x = 5,504,823,830.25
5. Step 5: Solve for x
   x = 5,504,823,830.25/49,095
6. Step 6: Final answer
   x = 112,125.96