Finding the Third Proportional to 77,793 and 120,689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,793 : 120,689.50 = 120,689.50 : x
2. Step 2: Convert to fraction form
   77,793/120,689.50 = 120,689.50/x
3. Step 3: Cross multiply
   77,793x = 120,689.50 × 120,689.50
4. Step 4: Simplify right side
   77,793x = 14,565,955,410.25
5. Step 5: Solve for x
   x = 14,565,955,410.25/77,793
6. Step 6: Final answer
   x = 187,239.92