Finding the Third Proportional to 49,322 and 77,288.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,322 : 77,288.50 = 77,288.50 : x
2. Step 2: Convert to fraction form
   49,322/77,288.50 = 77,288.50/x
3. Step 3: Cross multiply
   49,322x = 77,288.50 × 77,288.50
4. Step 4: Simplify right side
   49,322x = 5,973,512,232.25
5. Step 5: Solve for x
   x = 5,973,512,232.25/49,322
6. Step 6: Final answer
   x = 121,112.53