Finding the Third Proportional to 59,777 and 83,776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,777 : 83,776.50 = 83,776.50 : x
2. Step 2: Convert to fraction form
   59,777/83,776.50 = 83,776.50/x
3. Step 3: Cross multiply
   59,777x = 83,776.50 × 83,776.50
4. Step 4: Simplify right side
   59,777x = 7,018,501,952.25
5. Step 5: Solve for x
   x = 7,018,501,952.25/59,777
6. Step 6: Final answer
   x = 117,411.41