Finding the Third Proportional to 52,788.50 and 77,783

Step by Step Solution

1. Step 1: Write the proportion equation
   52,788.50 : 77,783 = 77,783 : x
2. Step 2: Convert to fraction form
   52,788.50/77,783 = 77,783/x
3. Step 3: Cross multiply
   52,788.50x = 77,783 × 77,783
4. Step 4: Simplify right side
   52,788.50x = 6,050,195,089
5. Step 5: Solve for x
   x = 6,050,195,089/52,788.50
6. Step 6: Final answer
   x = 114,611.99