Finding the Third Proportional to 91,777 and 139,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,777 : 139,411.50 = 139,411.50 : x
2. Step 2: Convert to fraction form
   91,777/139,411.50 = 139,411.50/x
3. Step 3: Cross multiply
   91,777x = 139,411.50 × 139,411.50
4. Step 4: Simplify right side
   91,777x = 19,435,566,332.25
5. Step 5: Solve for x
   x = 19,435,566,332.25/91,777
6. Step 6: Final answer
   x = 211,769.47