Finding the Third Proportional to 77,931 and 111,433.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,931 : 111,433.50 = 111,433.50 : x
2. Step 2: Convert to fraction form
   77,931/111,433.50 = 111,433.50/x
3. Step 3: Cross multiply
   77,931x = 111,433.50 × 111,433.50
4. Step 4: Simplify right side
   77,931x = 12,417,424,922.25
5. Step 5: Solve for x
   x = 12,417,424,922.25/77,931
6. Step 6: Final answer
   x = 159,338.71