Finding the Third Proportional to 49,290 and 77,221.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,290 : 77,221.50 = 77,221.50 : x
2. Step 2: Convert to fraction form
   49,290/77,221.50 = 77,221.50/x
3. Step 3: Cross multiply
   49,290x = 77,221.50 × 77,221.50
4. Step 4: Simplify right side
   49,290x = 5,963,160,062.25
5. Step 5: Solve for x
   x = 5,963,160,062.25/49,290
6. Step 6: Final answer
   x = 120,981.13