Finding the Third Proportional to 50,835 and 77,764.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,835 : 77,764.50 = 77,764.50 : x
2. Step 2: Convert to fraction form
   50,835/77,764.50 = 77,764.50/x
3. Step 3: Cross multiply
   50,835x = 77,764.50 × 77,764.50
4. Step 4: Simplify right side
   50,835x = 6,047,317,460.25
5. Step 5: Solve for x
   x = 6,047,317,460.25/50,835
6. Step 6: Final answer
   x = 118,959.72