Finding the Third Proportional to 77,783 and 120,666.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,783 : 120,666.50 = 120,666.50 : x
2. Step 2: Convert to fraction form
   77,783/120,666.50 = 120,666.50/x
3. Step 3: Cross multiply
   77,783x = 120,666.50 × 120,666.50
4. Step 4: Simplify right side
   77,783x = 14,560,404,222.25
5. Step 5: Solve for x
   x = 14,560,404,222.25/77,783
6. Step 6: Final answer
   x = 187,192.63