Finding the Third Proportional to 49,970 and 76,884.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,970 : 76,884.50 = 76,884.50 : x
2. Step 2: Convert to fraction form
   49,970/76,884.50 = 76,884.50/x
3. Step 3: Cross multiply
   49,970x = 76,884.50 × 76,884.50
4. Step 4: Simplify right side
   49,970x = 5,911,226,340.25
5. Step 5: Solve for x
   x = 5,911,226,340.25/49,970
6. Step 6: Final answer
   x = 118,295.50