Finding the Third Proportional to 49,114 and 74,079.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,114 : 74,079.50 = 74,079.50 : x
2. Step 2: Convert to fraction form
   49,114/74,079.50 = 74,079.50/x
3. Step 3: Cross multiply
   49,114x = 74,079.50 × 74,079.50
4. Step 4: Simplify right side
   49,114x = 5,487,772,320.25
5. Step 5: Solve for x
   x = 5,487,772,320.25/49,114
6. Step 6: Final answer
   x = 111,735.40