Finding the Third Proportional to 52,789.50 and 77,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,789.50 : 77,784.50 = 77,784.50 : x
2. Step 2: Convert to fraction form
   52,789.50/77,784.50 = 77,784.50/x
3. Step 3: Cross multiply
   52,789.50x = 77,784.50 × 77,784.50
4. Step 4: Simplify right side
   52,789.50x = 6,050,428,440.25
5. Step 5: Solve for x
   x = 6,050,428,440.25/52,789.50
6. Step 6: Final answer
   x = 114,614.24